chloimthlovenb8er0na
chloimthlovenb8er0na chloimthlovenb8er0na
  • 20-07-2016
  • Mathematics
contestada

Find the limit and confirm using the Sandwich Theorem: lim x->infinity (1 - cosx) / (x^2)

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meerkat18
meerkat18 meerkat18
  • 20-07-2016
We are given with the expression  (1 - cos x) / (x^2) and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.
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