anonymous
  • anonymous
What is the vertical asymptote for the function f(x) = x/ x-1?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
domain ]-inf,1[U]1,+inf [
anonymous
  • anonymous
|dw:1389059727821:dw|
anonymous
  • anonymous
to find asymptotes you mus take the limit were the domain "breaks" and in its extremes

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anonymous
  • anonymous
?
anonymous
  • anonymous
|dw:1389059855511:dw|
anonymous
  • anonymous
when x aproach from 1+(right) the function tends to infinity
anonymous
  • anonymous
so there is a vertical asymptote at x=1?
anonymous
  • anonymous
yep
anonymous
  • anonymous
is there a horizontal asymptote?
anonymous
  • anonymous
yes take the limit when x goes to infinity(extreme of your domain)
anonymous
  • anonymous
what did you get?
anonymous
  • anonymous
as y approaches 1?
anonymous
  • anonymous
no to zero|dw:1389060282398:dw|
anonymous
  • anonymous
y= 0 is the horizontal one
anonymous
  • anonymous
thanks
anonymous
  • anonymous
you are welcome
anonymous
  • anonymous
|dw:1389060457972:dw| it should be something like this

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