The function \( f(x)=e^{-|x|} \) is (A) Continuous everywhere but not differentiable at \( x=0 \...

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The function \( f(x)=e^{-|x|} \) is
(A) Continuous everywhere but not differentiable at \( x=0 \)
(B) Continuous and differentiable everywhere
(C) Not continuous at \( x=0 \)
(D) None of these
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