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BITSAT 2009
Exam
BITSAT
Year
2009
Subject
Mathematics
Chapter
Application of Derivatives

BITSAT 2009 · Mathematics · Application of Derivatives

The set of points of discontinuity of the function (1 / | x| ) is -

The set of points of discontinuity of the function (1 / \log |x∣\mathrm{x}|) is -

Options

  1. A(\{-1,0,1\})
  2. B(\{0\})
  3. C(\{0,1\})
  4. DNone of these

Correct answer

A. (\{-1,0,1\})

Step-by-step solution

Let \f(x)=1log⁡∣x∣Thef(x)=\frac{1}{\log |x|} Thepoints of disconinuity of f(x)f(x) are those points where f(x)f(x) is undefined or infinite. It is undefined when x=0x=0 and is infinite when (\log |x|=0,|x|=1), i.e. (x= \pm1). (\therefore \quad) Set of points of discontinuity (=\{-1,0,1\}).$
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