Determine \lim_{x \rightarrow \infty} f(x) and \lim _ { x \rightarrow - \infty } f ( x ) }

iohanetc

iohanetc

Answered question

2021-09-17

Determine
limxf(x)
and
limxf(x)}
for the following rational functions. Then give the horizontal asymptote of f (if any).
f(x)=x4+7x5+x2xx

Answer & Explanation

sovienesY

sovienesY

Skilled2021-09-18Added 89 answers

Evaluate limits at and . Then, if any of those limits is finite number L, function has horizontal asymptote y= L.
limxx4+7x5+x2x÷x5x5=limx1x+{7x5}1+1x31x4=0+01+00=0
We obtain same result for limx
This means that the function has horizontal asymptote y=0.

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