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

a) 1

b)2

c)3

d)4

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_→1^-  1/log|x|

  =  -∞

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

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin

Approved