The function f ( x ) = x cosec x is

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The function $f(x)=x \operatorname{cosec} x$ is

MathematicsContinuity and DifferentiabilityNDANDA 2010 (Phase 1)

Options:

A continuous for all values of $x$
B discontinuous everywhere
C continuous for all $x$ except at $x=n \pi$, where $n$ is an integer
D continuous for all $x$ except at $x=n \pi / 2$, where $n$ is an integer

Solution:

1681 Upvotes Verified Answer

The correct answer is: discontinuous everywhere

The function $f(x)=x$ cosec $x$ is discontinuous everywhere.

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