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Provide an Appropriate Response

Question 361

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Provide an appropriate response.
-  Does the graph of f(x)={xcos1x,x00,x=0 have a tangent at the origin? Give reasons for your answer. \text { Does the graph of } f ( x ) = \left\{ \begin{array} { l l } x \cos \frac { 1 } { x } , & x \neq 0 \\0 , & x = 0\end{array} \right. \text { have a tangent at the origin? Give reasons for your answer. }

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The function f is no...

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