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

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