anonymous
  • anonymous
find the limit of lim cos (2tan^(-1)x)) as x->+infinity
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
We can find the limit as x approaches positive infinity by finding the limit inside the cosine first. The limit as x -> infinity of 2arctanx is 2*pi/2 because there is a horizontal asymptote for arctanx at x = pi/2. So, we then evaluate cos(2pi/2) = cos(pi) = -1.

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