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If the function {:(f(x),=[log((pi)/4+x)]...

If the function `{:(f(x),=[log((pi)/4+x)]^(1/x),",","for"x != 0),(,=k, ",","for"x = 0):}`
is continuous at x = 0, then k = ?

A

e

B

`e^(-1)`

C

`e^(2)`

D

`e^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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