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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Continuity and Differentiability

NDA 2010 · Mathematics · Continuity and Differentiability

The function f(x)=x cosec x is

The function f(x)=xcosec⁡xf(x)=x \operatorname{cosec} x is

Options

  1. Acontinuous for all values of xx
  2. Bdiscontinuous everywhere
  3. Ccontinuous for all xx except at x=nπx=n \pi, where nn is an integer.
  4. Ddiscontinuous for all xx except at x=nπ/2x=n \pi / 2, where nn is an integer.

Correct answer

C. continuous for all xx except at x=nπx=n \pi, where nn is an integer.

Step-by-step solution

The correct answer is option (C).
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