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

`pm pi/4`

`pm pi/3`

`pm pi/6`

`pm pi/2`

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