The number of points at which the function f(x)= 1 |x| is discontinuous is:

Correct answer: C. 3 The function |x| is not defined at x=0 , so, x=0 is a point of discontinuity. Also for f(x) to be defined, |x| ≠ 0 x ≠± 1 Hence, 0,1,-1 are three points of discontinuity.

BITSAT 2016

Exam: BITSAT
Year: 2016
Subject: Mathematics
Chapter: Continuity and Differentiability

BITSAT 2016 · Mathematics · Continuity and Differentiability

The number of points at which the function f(x)= 1 |x| is...

The number of points at which the function

\mathrm{f}(\mathrm{x})=\frac{1}{\log |\mathrm{x}|}

is discontinuous is:

Options

Correct answer

C. 3

Step-by-step solution

The function

\log |x|

is not defined at

x=0

, so,

\mathrm{x}=0

is a point of discontinuity. Also for

\mathrm{f}(\mathrm{x})

to be defined,

\log |\mathrm{x}| \neq 0 \Rightarrow \mathrm{x} \neq\pm 1

Hence, 0,1,-1 are three points of discontinuity.

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