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  • Need solution for RD Sharma maths class 12 chapter 9 Differentiability exercise Fill in the blanks question 15

Need solution for RD Sharma maths class 12 chapter 9 Differentiability exercise Fill in the blanks question  15

Answers (1)

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Answer:[-1,0,1]

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

Solution:

The function \log \left | x \right | is not defined at x=0 . So, x=0 is a point of discontinuity.

Also, for f(x) to be defined,\log \left | x \right |=0, that is  x\neq I(Integer)

Hence, 1 and -1 are also points of discontinuity. 

Clearlyf(x), x \in R-\{0,1,-1\} where the function is not differentiable

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