since the numerator is of higher degree than the denominator, there is no horizontal asymptote.
As x gets huge, the lower powers become insignificant, and the fraction approaches
x^3/x^2 = x
So, there is a slant asymptote, but ho horizontal asymptote. The graph is at
http://www.wolframalpha.com/input/?i=%28x^3+%E2%88%92+3x^2+%2B+5x+%2B+1%29%2F%28+x^2+%E2%88%92+5x+%2B+3%29
Find the horizontal asymptote of the graph of the function. (If an answer does not exist, enter DNE.)
f(x) = x^3 − 3x^2 + 5x + 1/
x^2 − 5x + 3
1 answer
1 answer