The number of points at which the function
f(x)=1/log(to the base e)|x| is continuous is
A 1
B 2
C 3
D 4
E infinitely many
Explain.

Dear student
Correct question is:
The number of points at which the function 
f(x)=1/log(to the base e)|x| is discontinuous is:
Solution
1logex is discontinuous at x = -1,1, 0 As log 0 is not defined and log1 = 0, so 1loge1 is not defined. So 1logex is discontinuous at 3 points. 
Regards

 

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