anonymous
  • anonymous
I need help with this problem. lim (cos(x)-1)/(2x^(2)) as x approaches 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Luigi0210
  • Luigi0210
Would L'hopital work here? @Loser66
anonymous
  • anonymous
We have yet to learn that. So please show how to do it without?
Loser66
  • Loser66
yup

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Luigi0210
  • Luigi0210
Well.. I'm out of ideas xD Go for it 66
Loser66
  • Loser66
hehehe neither I. without l' hopital. we need some more steps to solve. Let me try.
anonymous
  • anonymous
as cos approaches 0 it looks like 1 but you are subtracting it by 1 so the numerator looks like 0. The denominator keeps getting smaller as well so its looks like 0. final answer is 0/0
anonymous
  • anonymous
Are you allowed to use this?\[\lim_{x \rightarrow 0}\frac{ \sin x }{ x }=1\]If so you can solve without L'Hospital if you multiply the top and bottom of the fraction by (cos x + 1). You'll get a numerator of cos^2 x - 1, which is equal to sin^2 x. Then divide out (sin x)/x twice (which is dividing by one, in this limit). The rest is easy.
Loser66
  • Loser66
Bingo, just a very small mistake at cos^2 x -1 = sin^2 x, it's not that, it's = -sin^2 x,
anonymous
  • anonymous
Thanks for the correction, Winner 66.
anonymous
  • anonymous
Thank you for taking your time in solving and explaining how to solve it Creeksider.
Loser66
  • Loser66
@creeksider I am not Winner, I am Loser. hehehe.... I am a loser on this problem, too. You see,
anonymous
  • anonymous
I'm sorry if I left you out, so.... uhh Loser66? Thank you for taking your time in attempting to solve this problem.
Loser66
  • Loser66
no problem. I am useless here, no need to say sorry, friend

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