Let \(f\left( x \right) = \left\{ \begin{array}{l} {x^p}\sin \frac{1}{x},x \ne 0\\ 0,\,x = 0 \end{array} \right.\) then f(x) is continuous but not differentiable at x = 0 if 

1
0 < p ≤ 1 
2
1 ≤ p < ∞ 
3
- ∞ < p < 0
4
More than one of the above
5
None of the above

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