The function \( f(x)=\left\{\begin{array}{cc}\frac{e^{1 / x}-1}{e^{...

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The function \( f(x)=\left\{\begin{array}{cc}\frac{e^{1 / x}-1}{e^{1 / x}+1}, & x \neq 0 \\ 0, & x=0\end{array}\right. \)
(a) is continuous at \( x=0 \)
(b) is not continuous at \( x=0 \)
(c) is not continuous at \( x=0 \), but can be made continuous at \( x=0 \)
(d) none of these
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