- #1

Kolika28

- 146

- 28

- Homework Statement
- ##f(x) =

\begin{cases}

(x-1)(1+sin(\frac{1}{x^2-1})) & \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!