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Question

Mathematics Question on Continuity and differentiability

Letf(x)={2x1,x<1 1,x=1 x2,x>1f(x)=\begin{cases} 2x-1, x<1\\\ 1, x=1 \\\ x^2,x>1 \end{cases}then at x = 1

A

f(x) is continuous from left only

B

f(x) is continuous from right only

C

f(x) is continuous

D

f(x) has removable discontinuity

Answer

f(x) is continuous

Explanation

Solution

The correct option is(C):f(x) is continuous