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The number of points at which the function f(x)=1/log|x| is discontinous is a) 1 b)2 c)3 d)4

The number of points at which the function f(x)=1/log|x| is discontinous is


a) 1


b)2


c)3


d)4

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
13 years ago

Dear Manan

f(x)=1/log|x|

critical point for this function are  x=0,1,-1

function is not define at x=0 so it must be discontinous at x=0

check the dcontinuty at x=1

ltx→1+ 1/log|x|

  =  +∞

ltx→11/log|x|

  =  -∞

similerly at x=-1 function will be discontinous so total 3 point exits where function is discontinous

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