The function \( f(x)=\frac{1}{x}-\frac{2}{e^{2 x}-1}, x \neq 0 \), is continuous at \( x=0 \). T...

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The function \( f(x)=\frac{1}{x}-\frac{2}{e^{2 x}-1}, x \neq 0 \), is continuous at \( x=0 \). Then
\( \mathrm{P} \)
(a) \( f(0)=1 \)
(b) \( f(x) \) is differentiable at \( x=0 \)
W
(c) \( f(x) \) is not differentiable at \( x=0 \)
(d) \( f^{\prime}(0)=\frac{1}{3} \)
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