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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 I is true, Statement II is also true, Statement II is the correct explanation of Statement I

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

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The correct Answer is:
B
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