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Let fandg be real valued functions defin...

Let `fandg` be real valued functions defined on interval `(-1,1)` such that `g''(x)` is constinous, `g(0)=0`, `g'(0)=0,g''(0)=0andf(x)=g(x)sinx`.
Statement I `underset(xrarr0)lim(g(x)cotx-g(0)cosecx)=f''(0)`
Statement II `f'(0)=g'(0)`

A

Statement-1 is True, Statement -2 is True, Statement -2 is True and Statement -2 is a correct explanation for statement -1.

B

Statement -1 is True, Statement -2 is True and Statement -2 is Not is a correct explanation for Statement -1.

C

Statement -1 is True, Statement -2 is False.

D

Statement -1 is False, Statement -2 is True.

Text Solution

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The correct Answer is:
B
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