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Which of the following function is not continuous at $x=0$ ?

• A
  $f(x)= \begin{cases}(1+2 x)^{1 / x}, & x \neq 0 \\ e^2, & x=0\end{cases}$
• B
  $f(x)= \begin{cases}\sin x-\cos x, & x \neq 0 \\ -1, & x=0\end{cases}$
• ✓
  $f(x)= \begin{cases}\frac{e^{1 / x}-1}{e^{1 / x}+1}, & x \neq 0 \\ -1, & x=0\end{cases}$
• D
  $f(x)= \begin{cases}\frac{e^{5 x}-e^{2 x}}{\sin 3 x}, & x \neq 0 \\ 1, & x=0\end{cases}$