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Homework Statement:

##f(x) =
\begin{cases}
(x1)(1+sin(\frac{1}{x^21})) & \quad \text{if } x \text{ is not equal to 1}\\
0 & \quad \text{if } x \text{ is equal to 1}
\end{cases}##
Is the function continuous and differentiable in x=1? Use the definition of the derivative.
Relevant Equations:
 The defintion of the derivative
I don't understand my textbook, so I simply don't understand how to solve this math problem. I really appreciate some help!