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Question -

Provethat the function given by

 isnotdifferentiable at x = 1.



Answer -

The given function is 

It isknown that a function f is differentiable at a point x = c inits domain if both

are finite and equal.

Tocheck the differentiability of the given function at x = 1,

considerthe left hand limit of f at x = 1

Sincethe left and right hand limits of f at x = 1are not equal, f is not differentiable at x =1

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