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Let f(x)={x^n sin (1/x) , x!=0; 0, x=0; ...

Let `f(x)={x^n sin (1/x) , x!=0; 0, x=0`; and `n>0` Statement-1: `f(x)` is continuous at `x=0` and `AA n>0`. and Statement-2: `f(x)` is differentiable at `x=0` `AA n>0` (1) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (2) Statement-1 is True, Statement-2 is True Statement-2 is NOT a correct explanation for Statement-1. (3) Statement-1 is True, Statement-2 is False (4) Statement-1 is False, Statement-2 is True.

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