Provide an Appropriate Response

Essay

Provide an appropriate response.
- $$\text { Does the graph of } f ( x ) = \left\{ \begin{array} { l l } x \cos \frac { 1 } { x ^ { \prime } } & x \neq 0 \\0 , & x = 0\end{array} \right. \text { have a tangent at the origin? Give reasons for your answer. }$$