Vertical line

[Petrus]

Hello MHB,
I did find a problem in internet
\(\displaystyle y=\frac{ln(x-5)}{x}\)
they say there is a vertical line at \(\displaystyle x=5\) but should there not also be a vertical line at \(\displaystyle x=0\)?

Regards,
\(\displaystyle |\pi\rangle\)

 

[ZaidAlyafey]

Hello MHB,
I did find a problem in internet
\(\displaystyle y=\frac{ln(x-5)}{x}\)
they say there is a vertical line at \(\displaystyle x=5\) but should there not also be a vertical line at \(\displaystyle x=0\)?

Regards,
\(\displaystyle |\pi\rangle\)

\(\displaystyle \ln(x-5) \) is undefined at $x=0$ actually the function cannot get closer to this line.