SOLUTION: Find the horizontal asymptote, if any, of the graph of the rational function. f(x)=8x/2x^2+1 a. y=1/4 b. y=0 c. y=4 d. no horizontal asymptote

Question 155026: Find the horizontal asymptote, if any, of the graph of the rational function.
f(x)=8x/2x^2+1
a. y=1/4
b. y=0
c. y=4
d. no horizontal asymptote
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
No horizontal awymptote because 2x^2+1=0 has no Real Number solution.
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Another way to look at it: That 2x^2 term can never be negative.
When you add 1 to it you always get a positive number---never zero.
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cheers,
Stan H.
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