Help me with Calculus
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2/2/2014 11:11:55 AM Posted: 2 years ago If your good at calculus can you show all your steps in working out the problem below.
You can not use L'Hopitals rule because I'm not allowed to yet. What is the Limit of ( sin(x) / x  pi) as x goes to pi Show all your steps thanks. 
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2/2/2014 12:33:26 PM Posted: 2 years ago At 2/2/2014 11:11:55 AM, Disquisition wrote: is the (xp) in the denominator, or is it: sin(x)/x  pi? 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 12:39:46 PM Posted: 2 years ago At 2/2/2014 12:33:26 PM, yay842 wrote:At 2/2/2014 11:11:55 AM, Disquisition wrote: The (x pi) is the denominator and sin(x) is the numerator. 
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2/2/2014 12:46:04 PM Posted: 2 years ago And if anyone could also help me find the derivative of
f(x) = x^3 + 3x / x^2 1 , so basically df/dx =? Use the quotient rule and show all your steps 
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2/2/2014 12:49:28 PM Posted: 2 years ago At 2/2/2014 12:46:04 PM, Disquisition wrote: Is x^21 the denominator? If so you should put it in parentheses. #UnbanTheMadman #StandWithBossy #BetOnThett "bossy r u like 85 years old and have lost ur mind" ~mysteriouscrystals "I've honestly never seen seventh post anything that wasn't completely idiotic in a tryingtobefunny way." ~F16 https://docs.google.com... 
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2/2/2014 12:59:28 PM Posted: 2 years ago At 2/2/2014 12:39:46 PM, Disquisition wrote:At 2/2/2014 12:33:26 PM, yay842 wrote:At 2/2/2014 11:11:55 AM, Disquisition wrote: i see no way of doing this one without lepitals rule but I guess you can move the (xpi) to the numerator and do product rule 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 1:02:21 PM Posted: 2 years ago At 2/2/2014 11:11:55 AM, Disquisition wrote: Limit sin (x)/ xpi x>pi As we know: Sin(xpi)= sin(x)cos(pi)  sin(pi)cos(x) ...................... = sinx(1)  (0)cosx ....................... = sinx 0 = sinx Hence Sin(x)= sin (xpi) Replacing this in Limit Limit sin(xpi)/ (xpi) x>pi Taking out (1) (1) Limit sin (xpi)/ (xpi) x>pi (1) . (1)* *By applying limit formula: Limit sin(y)/y = 1 y>0 = 1 Is it ok? Remove the "I want", remainder is the "peace". ~AlGhazali~ "This time will also pass", a dose to cure both; the excitement & the grievance. ~Ayaz~ 
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2/2/2014 1:13:35 PM Posted: 2 years ago f(x) = x^3 + 3x / x^2 1
1. quotient rule: (vu'uv')/v^2 2. [(x^21)(3x^2+3)(x^3+3x)(2x)]/(x^21)^2 3. (3x^3+3x^23x36x^36x)/(x^41) 4. (3x^3+3x^29x3)/(x^41) 5. if you want to simplify it further: 3(x^3+x^23x1)/(x^41) DONE 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 1:16:53 PM Posted: 2 years ago At 2/2/2014 12:46:04 PM, Disquisition wrote: f(x)= x^3 + 3x /(x^21) Quotient Rule dy/dx = [(x^21)(3x^2+3)(x^3+3x)(2x)] / {(x^21)^2} = Solve the algebra to simplify. Remove the "I want", remainder is the "peace". ~AlGhazali~ "This time will also pass", a dose to cure both; the excitement & the grievance. ~Ayaz~ 
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2/2/2014 1:32:31 PM Posted: 2 years ago At 2/2/2014 1:16:53 PM, Dazz wrote:At 2/2/2014 12:46:04 PM, Disquisition wrote: beat you to it already, try solving the 1st one without lepital's rule(which i dont see how) 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 1:49:44 PM Posted: 2 years ago Yay, I get a different answer:
f(x) = ( x^3 + 3x ) / ( x^2 1 ) f(x)' = ? 1. quotient rule: (vu'uv')/v^2 2. [ ( x^2  1 ) ( 3x^2 + 3 )  ( x^3 + 3x ) ( 2x ) ] / ( x^2  1 ) ^2 3. ( x^4  6x^2  3 ) / [ ( x^2  ) ( x^2  1 ) ] 4. ( x^4  6x^2  3 ) / ( x^4  2x^2 + 1 ) Step 4 is the answer. 
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2/2/2014 1:54:37 PM Posted: 2 years ago Step 3 should read ( x^4  6x^2  3 ) / [ ( x^2  1 ) ( x^2  1 ) ]
I did it twice and I still get the same answer I got in Step 4. 
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2/2/2014 1:56:23 PM Posted: 2 years ago At 2/2/2014 1:49:44 PM, Juan_Pablo wrote: you screwed up 2 to 3. there is no power to the 4 in in the numerator 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 1:58:01 PM Posted: 2 years ago At 2/2/2014 11:11:55 AM, Disquisition wrote: well i see no way to do this with lepitals ruel, but just to show you: 1. derivative of sinx = cosx 2. derivative of x  pi = 1 3. cos pi = 1 4. the limit as x approaches pi of (sin(x))/(xpi)=1 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 1:59:01 PM Posted: 2 years ago At 2/2/2014 1:54:37 PM, Juan_Pablo wrote: nvm i take that back, there is a power to the fourth 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 1:59:53 PM Posted: 2 years ago i cant tell sh*t in this format, i gots to right it down
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2/2/2014 2:05:23 PM Posted: 2 years ago Step 2 to 3:
[ ( x^2  1 ) ( 3x^2 + 3 )  ( x^3 + 3x ) ( 2x ) ] / ( x^2  1 ) ^2 = [ ( 3x^4 + 3x^2  3x^2  3 ) + ( 2x^4  6x^2 ) ] / [ ( x^2  1 ) ( x^2  1 ) ] Step 3: ( x^4  6x^2  3 ) / [ ( x^2  ) ( x^2  1 ) ] I still get the same answer. You made a mistake somewhere. It's okay, Yay. I frequently make similar mistakes and have to recheck my answers too. ;) 
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2/2/2014 2:07:12 PM Posted: 2 years ago Since I'm going to be an integrative science teacher, it's good for me to practice this stuff. :))

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2/2/2014 2:14:04 PM Posted: 2 years ago At 2/2/2014 2:05:23 PM, Juan_Pablo wrote: http://thesamerainbowsend.com... 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 2:24:22 PM Posted: 2 years ago At 2/2/2014 2:05:23 PM, Juan_Pablo wrote: Thanks I forgot to expand (x^21) to (x1)(x+1) and multiply separately. After that I got the same answer you did. 
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2/2/2014 2:25:49 PM Posted: 2 years ago At 2/2/2014 1:02:21 PM, Dazz wrote:At 2/2/2014 11:11:55 AM, Disquisition wrote: I get everything until you get to the limit formula part. Could you elaborate on that, since I just started Cal 1 
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2/2/2014 2:27:00 PM Posted: 2 years ago At 2/2/2014 2:24:22 PM, Disquisition wrote:At 2/2/2014 2:05:23 PM, Juan_Pablo wrote: No problem, Diquisition. 
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2/2/2014 2:48:42 PM Posted: 2 years ago By the way, Disquisition, for you first problem you can't use L'Hospital's rule.
The problem isn't of the indeterminate form [ lim x>a f (x) ] / [ lim x>a g (x) ] = 0 / 0 or infinity / inifinity. L'Hospital's rules doesn't apply. 
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2/2/2014 2:50:18 PM Posted: 2 years ago You're going to have to find some other method to find the limit of the problem as x>pi.

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2/2/2014 2:50:20 PM Posted: 2 years ago At 2/2/2014 2:27:00 PM, Juan_Pablo wrote: No problem, Diquisition. Here is another one if your up to it. What is the derivative of f(x) = cos(2x), when c = (pi) / (4), The question basically wants us to plug it into this equation [f ( c+h )  f ( c )] / h so I think its saying to determine the derivative of cos(2x) when x = (pi) / (4) 
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2/2/2014 2:57:05 PM Posted: 2 years ago At 2/2/2014 2:48:42 PM, Juan_Pablo wrote: its not indeterminate? 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 2:59:00 PM Posted: 2 years ago At 2/2/2014 2:50:20 PM, Disquisition wrote:At 2/2/2014 2:27:00 PM, Juan_Pablo wrote:No problem, Diquisition. 1. cos(2x), x=pi/4 2. derive: 2sin(2x) 3. 2sine(2pi/4) 4. 2sin(pi/2)=1 x 2 = 2 30 Important Life Lessons http://www.debate.org... 20 Terrifying TwoSentence Horrors http://www.debate.org... 20 Jokes That Only Geniuses Will Understand http://www.debate.org... Name One Song That Can't Match This GIF http://d24w6bsrhbeh9d.cloudfront.net... 
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2/2/2014 3:03:29 PM Posted: 2 years ago At 2/2/2014 2:57:05 PM, yay842 wrote:At 2/2/2014 2:48:42 PM, Juan_Pablo wrote: It's not of an indeterminant form so that L'Hospital's rule can be used. The reason is that the lim sin(x) as x > pi is neither 0 or infinity. Both the limits of the expression in the numerator and the denominator need equal 0 xor infinity. 
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2/2/2014 3:24:27 PM Posted: 2 years ago At 2/2/2014 2:59:00 PM, yay842 wrote:At 2/2/2014 2:50:20 PM, Disquisition wrote:At 2/2/2014 2:27:00 PM, Juan_Pablo wrote:No problem, Diquisition. We haven't come to the point where we can use derivations of trig functions so I have to plug into formula :( but thanks anyways. 
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2/2/2014 3:25:52 PM Posted: 2 years ago At 2/2/2014 2:59:00 PM, yay842 wrote:At 2/2/2014 2:50:20 PM, Disquisition wrote:At 2/2/2014 2:27:00 PM, Juan_Pablo wrote:No problem, Diquisition. Yay, I get a different answer. I get: 1. cos ( 2x), x = pi / 4 2. [ cos ( 2x) ]' =  2 sin ( 2 x ) 3.  2 sin ( 2 pi / 4 ) 4.  2 sin ( pi / 2 ) 5. 1.972588 That can probably be cleanly restated with pi as a factor. 