If \[f(x)=\left\{ \begin{matrix} {{x}^{n}}\sin (1/{{x}^{2}}),x\ne 0 \\ 0,x=0 \\ \end{matrix} \right.\], \[(n\in I)\], then

• A. \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] exists for \[n>1\]
• B. \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] exists for \[n<0\]
• C. \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] Does not exist for any value of n
• D. \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] cannot be determined