Determine \lim_{x \rightarrow \infty}f(x) and \lim_{x \rightarrow -\infty}f(x) for the following rational functions.

Bergen

Bergen

Answered question

2021-09-11

Determine
limxf(x)
and
limxf(x)
for the following rational functions. Then give the horizontal asymptote of f (if any).
f(x)=4x278x2+5x+2

Answer & Explanation

2abehn

2abehn

Skilled2021-09-12Added 88 answers

Evaluate limits at and . Then, if any of those limits is finite number L, function has horizontal asymptote y= L.
limx4x278x2+5x+2÷x2x2=limx4{7x2}8+5x+22x2=408+0+0=12
We obtain same result for limx4x278x2+5x+2.
This means that the function has horizontal asymptote y=12.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?