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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

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The correct Answer is:
D
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