Determine lim x->oo f(x) ,lim x->-oo f(x)lim from the following rational functions.Then give the horizontal asymptote of f.f(x)=(12x^8−3)/(3x^8−2x^7)

Tazmin Horton

Tazmin Horton

Answered question

2021-09-28

Determine limxf(x) and limxf(x)lim from the following rational functions. Then give the horizontal asymptote of f (if any). f(x)=12x833x82x7

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2021-09-29Added 97 answers

Evaluate limits at and . Then, if any of those limits is finite number L, function has horizontal asymptote y=L. limx12x833x82x7x8/(x8)=limx((123x83(2x))=123=4
We obtain same result for limx. This means that the function has horizontal asymptote y=4

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