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July 4, 2015

Homework Help: Calculus

Posted by Anonymous on Monday, October 12, 2009 at 7:07pm.

Which of these rational functions has a ) horizontal asymptote? a slant asymptote? no vertical asymptote?

r(x)= 2x-1/ x^2-x-2 = 2x-1/ (x-2)(x+1)
s(x)= x^3+27/x^2+4 = (x+3)(x^2-3x+9)/(x-2)(x+2)
t(x)=x^3-9x= x(x-3)(x+3)/x+2
u(x)=x^2+x-6/x^2-25= (x+3)(x-2)/(x+5)(x-5)

I do not know how to determine the asymptotes. Please help me. I would sincerely appreciate it. Thanks!

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