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If f(x)={{:(,(|x+2|)/(tan^(-1)(x+2)),x n...

If `f(x)={{:(,(|x+2|)/(tan^(-1)(x+2)),x ne -2),(,2, x=-2):}`, then f(x) is

A

continuous at x=-2

B

not continuous at x=-2

C

differentiable at x=-2

D

continous but not derivable at x=-2

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