Write the equation of the vertical asymptote for the function, y = In(x-1). Use your calculator to graph the function for you to view

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25-07-2016
Mathematics

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Write the equation of the vertical asymptote for the function, y = In(x-1). Use your calculator to graph the function for you to view

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konrad509 konrad509 · Answer 1 · 2016-07-25T20:26:48+02:00

konrad509 konrad509

25-07-2016

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

So the asymptote is [tex]x=1[/tex]. This is right-sided asymptote. The left-sided doesn't exist because of the domain.

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