Monday, October 28, 2019

real analysis - How do I evaluate this limit :displaystylelimxtoinfty(1+cosx)frac1cosx?



I would like to know if this :limx(1+cosx)1cosx

does exist and how do i evaluate it ?.




Note : I have tried to use the standard limit : limz(1+1z)z=e

using cosx=1/z but i can't
succeed



Thank you for any help .


Answer



For any natural number n, if x=2nπ ,the value of the function is 2; if x=(2n+1/2)π, the value is 1. So no convergence.


No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...