Question

f(x)=1/ln(abs(x)) find the hole. I already found the V.A.:x=1,-1and H.A:y=0

Answer 1

\[f(x)=1/\ln \left| x \right| \]

Answer 2

what is "the hole", what are V.A and what are H.A ?

Answer 3

the hole in the graph, Vertical asymptote, and Horizontal asymptote

Answer 4

he means when x=0

Answer 5

yes x=0.

Answer 6

but how do you find that. I already now that is the answer.

Answer 7

*know

Answer 8

ln|x| is defined for 0<x<0, undefined for x=0, so you'll have a hole there

Answer 9

ln|x| , 1, are all continuous except at x=0.
So 1/ln(abs(x)) is also cont. at all pts except x=0.

Answer 10

A hole is a removable singularity and the function does not have one.

Answer 11

Thank you!!!

Answer 12

@oldrin.bataku the function does have it at x=0... right?