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If lim(x rarr 0) [1 + x In (1 + b^(2))]^...

If `lim_(x rarr 0) [1 + x In (1 + b^(2))]^(1/x) = 2b sin^(2) theta, b gt 0 and theta in (-pi, pi]`, then the value of `theta` is :

A

`+- (pi)/(4)`

B

`+- (pi)/(3)`

C

`+- (pi)/(6)`

D

`+- (pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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