Which of the following functions is not continuous at $x = 0$?
- A$f(x) = \begin{cases} (1 + 2x)^{1/x}, & x \neq 0 \\ e^2, & x = 0 \end{cases}$
- B$f(x) = \begin{cases} \sin x - \cos x, & x \neq 0 \\ -1, & x = 0 \end{cases}$
- C$f(x) = \begin{cases} \frac{e^{1/x} - 1}{e^{1/x} + 1}, & x \neq 0 \\ -1, & x = 0 \end{cases}$
- D$f(x) = \begin{cases} \frac{e^{5x} - e^{2x}}{\sin 3x}, & x \neq 0 \\ 1, & x = 0 \end{cases}$
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