Verified Answer :

konrad509

\(y=\ln (x-1)\\ D:x\ \textgreater \ 1\\\\ \displaystyle \lim_{x\to1^+}\ln (x-1)=\ln 0^+=-\infty\)

So the asymptote is \(x=1\). This is right-sided asymptote. The left-sided doesn't exist because of the domain.

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