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Mathematics 17 Online
OpenStudy (anonymous):

What is the vertical asymptote for the function f(x) = x/ x-1?

OpenStudy (anonymous):

domain ]-inf,1[U]1,+inf [

OpenStudy (anonymous):

|dw:1389059727821:dw|

OpenStudy (anonymous):

to find asymptotes you mus take the limit were the domain "breaks" and in its extremes

OpenStudy (anonymous):

?

OpenStudy (anonymous):

|dw:1389059855511:dw|

OpenStudy (anonymous):

when x aproach from 1+(right) the function tends to infinity

OpenStudy (anonymous):

so there is a vertical asymptote at x=1?

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

is there a horizontal asymptote?

OpenStudy (anonymous):

yes take the limit when x goes to infinity(extreme of your domain)

OpenStudy (anonymous):

what did you get?

OpenStudy (anonymous):

as y approaches 1?

OpenStudy (anonymous):

no to zero|dw:1389060282398:dw|

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