.Test the continuity and differentiability of the following function at x = 0 and x = 1/2
1 -infinity<x<0
1+ sin x 0<_ x<_pii/2
(2+ (x-pii/2) ² pii/2<_ x< infinity
Also, find the points at which the function
g(x) = 1x + 1| + 1x - 21
is not differentiable.
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