If \( f(x)=\left\{\begin{array}{cc}x^{2}\left(\frac{e^{1 / x}-e^{-1 / x}}{e^{1 / x}+e^{-1 / x}}\....

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If \( f(x)=\left\{\begin{array}{cc}x^{2}\left(\frac{e^{1 / x}-e^{-1 / x}}{e^{1 / x}+e^{-1 / x}}\right) & ; \quad x \neq 0 \\ 0 & ; \quad x=0\end{array}\right. \)
\( P \)
then, at \( x=0 \), which of the following is true for \( f(x) \) ?
(A) Continuous at \( x=0 \)
(B) Discontinuous at \( x=0 \)
(C) \( f(0)=1 \)
(D) L.H.L. \( =0 \)


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