Find number of points of non-differentiability of \( f(x)=\lim _{n \rightarrow \infty} \frac{\le...

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Find number of points of non-differentiability of \( f(x)=\lim _{n \rightarrow \infty} \frac{\left\{e^{x}\right\}^{n}-1}{\left\{e^{x}\right\}^{n}+1} \) in interval \( [0,1] \) where \( \{ \).\( \} represents \) fractional part function
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