Asked by Raquel
                 If y = 3 is a horizontal asymptote of a rational function, which must be true?
A)
lim
x→ 3
f(x) = 0
B)
lim
x→ 0
f(x) = 3
C)
lim
x→ ∞
f(x) = 3
D)
lim
x→ 3
f(x) = ∞
My answer is B
            
        A)
lim
x→ 3
f(x) = 0
B)
lim
x→ 0
f(x) = 3
C)
lim
x→ ∞
f(x) = 3
D)
lim
x→ 3
f(x) = ∞
My answer is B
Answers
                    Answered by
            Steve
            
    no, that would make it seem like y(0) = 3
But that is not an asymptote. You get a horizontal asymptote when y approaches some value for very large x. Try (C)
http://www.wolframalpha.com/input/?i=plot+y%3D3+%2B+1%2Fx,+y%3D3-3%2F(x%5E2%2B1)
    
But that is not an asymptote. You get a horizontal asymptote when y approaches some value for very large x. Try (C)
http://www.wolframalpha.com/input/?i=plot+y%3D3+%2B+1%2Fx,+y%3D3-3%2F(x%5E2%2B1)
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