If \( f(x)=\left\{\begin{array}{cc}\frac{x \log \cos x}{\log \left(1+x^{2}\right)}, & x \neq 0 \...
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0If \( f(x)=\left\{\begin{array}{cc}\frac{x \log \cos x}{\log \left(1+x^{2}\right)}, & x \neq 0 \\ 0, & x=0\end{array}\right. \) then
(A) \( f(x) \) is not continuous at \( x=0 \)
(B) \( f(x) \) is differentiable at \( x=0 \)
(C) \( f(x) \) is continuous at \( x=0 \), but not differentiable at \( x=0 \)
(D) None of these
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