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let f(x)=[tan(pi/4+x)]^(1/x) , x!=0 and ...

let `f(x)=[tan(pi/4+x)]^(1/x) , x!=0` and `f(x)=k , x=0` then the value of `k` such that `f(x)` hold continuity at `x=0`

A

e

B

`(1)/(e^(2))`

C

`e^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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