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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Continuity and Differentiability

NDA 2017 · Mathematics · Continuity and Differentiability

Consider the following : 1. x+x^2 is continuous at x=0 2. x+ 1 x is...

Consider the following : 1. x+x2\mathrm{x}+\mathrm{x}^2 is continuous at x=0\mathrm{x}=0 2. x+cos⁡1x\mathrm{x}+\cos \frac{1}{\mathrm{x}} is discontinuous at x=0\mathrm{x}=0 3. x2+cos⁡1xx^2+\cos \frac{1}{x} is continuous at x=0x=0 Which of the above are correct?

Options

  1. A11 and 22 only
  2. B22 and 33 only
  3. C11 and 33 only
  4. D1,21,2 and 33

Correct answer

A. 11 and 22 only

Step-by-step solution

x+x2\mathrm{x}+\mathrm{x}^2 is continuous at x=0x+cos⁡1x\mathrm{x}=0\mathrm{x}+\cos \frac{1}{\mathrm{x}} is discontinuous at x=0x2+cos⁡1x\mathrm{x}=0x^2+\cos \frac{1}{x} is not continuous at x=0x=0.
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