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Grade 11Differential Calculus

Find the number of points for which function is discontinuous.
f(x) = 1/log|x|

Kawal

11 Years agoGrade 11

1 Answer

Jitender Singh

Approved Tutor Answer11 Years ago

Ans:
$f(x) = \frac{1}{log|x|}$
Function log|x| is not defined at x = 0
So x = 0 is a point of discontinuity.
Also for f(x) to be defined,
$log|x| \neq 0$
$x \neq \pm 1$
Hence, 1 & -1 are pont of discontinuity.
So there are 3 point of discontinuity {-1, 0, 1}

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