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-- Mathematics - Section B1
Continuity and Differentiability
$f(x)=\left\{\begin{matrix}-1:&x<-1\\-x:&-1≤x≤1\\1:&x>1\end{matrix}\right.$. Then f (x) at x = 0:
is continuous
is discontinuous
is non-differentiable
None of these
So, f (x) is continuous and differentiable at x = 0