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NDA 2012

Exam: NDA
Year: 2012
Subject: Mathematics
Chapter: Continuity and Differentiability

NDA 2012 · Mathematics · Continuity and Differentiability

Which one of the following is correct in respect of the function...

Which one of the following is correct in respect of the function

f(x)=\frac{x^2}{|x|}

for

x \neq 0

and

f(0)=0

?

Options

A $f(x)$ is discontinuous every where
B $f(x)$ is continuous every where
C $f(x)$ is continuous at $x=0$ only
D $f(x)$ is discontinuous at $x=0$ only

Correct answer

B. $f(x)$ is continuous every where

Step-by-step solution

f(x)

is continuous every where.

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