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If underset( x to 0) lim [1+x log (1+b...

If ` underset( x to 0) lim [1+x log (1+b^(2))]^(1/x) = 2b sin^(2) theta, b gt 0 and theta in ( - pi, pi]`, then the value of ` theta` is

A

`pm(pi)/(4)`

B

`pm(pi)/(3)`

C

`pm(pi)/(6)`

D

`pm(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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