A) \[1\]
B) \[2\]
C) \[3\]
D) \[\infty \]
Correct Answer: C
Solution :
Given, \[f(x)=\frac{1}{{{\log }_{e}}\,|x|}\] On differentiating w. r. t. x, we get \[f'(x)=-\frac{1}{{{({{\log }_{e}}\,|x|)}^{2}}}\,\left( \frac{1}{x} \right)\] Here, \[f'(x)\] does not exist at \[x=0,\,-1\,\]and 1. Hence, \[f(x)\] is discontinuous at three points of x.You need to login to perform this action.
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