12th Class
Mathematics
Sample Paper
Mathematics Olympiad Sample Paper-4
question_answer
Let \[f\,\,(x)\,\,\left\{ \begin{align} & {{x}^{n}}\sin \frac{1}{x} \\ & \,\,\,\,\,\,\,\,\,\,\,0, \\ \end{align} \right.\,\,\,\,\]\[\begin{align} & x\ne 0 \\ & x\,\,\,=0 \\ \end{align}\]Then, f is continuous but not differentiable at \[x=0\]f