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Question

Mathematics Question on Functions

At x = 1, the function f(x) = \left\\{ \begin{aligned} & x^3-1\ \ \ \ \ \ 1<x<\infin \\\ & x-1\ \ \ \ \ -\infin<x≤1 \\\ \end{aligned} \right. is

A

continuous and differentiable

B

continuous and non-differentiable

C

discontinuous and differentiable

D

discontinuous and non-differentiable

Answer

continuous and non-differentiable

Explanation

Solution

The correct answer is () :