\( f(x)=\left\{\begin{array}{ll}\frac{|x+2|}{\tan ^{-1}(x+2)}, & x \neq-2 \\ 2 & , x=-2\end{arra...
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0\( f(x)=\left\{\begin{array}{ll}\frac{|x+2|}{\tan ^{-1}(x+2)}, & x \neq-2 \\ 2 & , x=-2\end{array}\right. \), then \( f(x) \),
(A) continuous at \( x=-2 \)
(B) not continuous at \( x=-2 \)
(C) differentiable at \( x=-2 \)
(D) continuous but not derivable at \( x=-2 \)
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