rammlopez99 rammlopez99
  • 04-06-2018
  • Mathematics
contestada

find the vertical, horizontal, and slant asymptotes, if any for y=x^3/ (x-2)^4

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Luv2Teach
Luv2Teach Luv2Teach
  • 04-06-2018
This has both a horizontal and a vertical asymptote.  There are no slant (oblique) asymptotes cuz the degree of the numerator is not higher than that of the denominator.  If the degree of the numerator is less than the degree of the denominator, which is our case here, then the horizontal asymptote is 0.  But we also have a vertical asymptote, which occurs where the denominator = 0.  We all know that we break every rule known to mankind if we try to divide by 0, so there also a vertical asymptote at x = 2.
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