Prove that the function f given by `f(x) = |x - 1|, x in R` is notdifferentiable at x = 1.
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Solution
The given function f is `f(x) = [x], 0 < x < 3`
It is known that a function f is differentiable at a point x = c in its domain if both
Since the left and right hand limits of f at x = 2 are not equal, f is not differentiable at x = 2
Concept: Concept of Differentiability
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