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.
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