If \( f(x)=\left\{\begin{array}{ll}x^{2}, & x \neq 0 \\ 1, & x=0\end{array}\right. \) then (1) \....

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If \( f(x)=\left\{\begin{array}{ll}x^{2}, & x \neq 0 \\ 1, & x=0\end{array}\right. \) then
\( \mathrm{P} \)
(1) \( f(x) \) has a local minima at \( x=0 \)
(2) \( f(x) \) has a local maxima at \( x=0 \)
(3) \( f(x) \) has neither local maxima nor minima at
\[
x=0
\]
(4) None of these


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