Which of the following is correct for \[f(x)=\left\{ \begin{matrix} (x-e){{2}^{-{{2}^{\left( \frac{1}{(e-x)} \right)}},}} & x\ne e\,\,at\,\,x=e \\ 0, & x=e \\ \end{matrix} \right.\]

f(x) is differentiable at x = e

f(x) is non-differentiable at x = e

Which of the following is correct for \[f(x)=\left\{ \begin{matrix}

1.	Which of the following is correct for \[f(x)=\left\{ \begin{matrix} (x-e){{2}^{-{{2}^{\left( \frac{1}{(e-x)} \right)}},}} & x\ne e\,\,at\,\,x=e \\ 0, & x=e \\ \end{matrix} \right.\]
A.	f(x) is discontinuous at x = e
B.	f(x) is differentiable at x = e
C.	f(x) is non-differentiable at x = e
D.	None of these
Answer» D. None of these

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Which of the following is correct for \[f(x)=\left\{ \begin{matrix} (x-e){{2}^{-{{2}^{\left( \frac{1}{(e-x)} \right)}},}} & x\ne e\,\,at\,\,x=e \\ 0, & x=e \\ \end{matrix} \right.\]

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