The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide nu

SchachtN

SchachtN

Answered question

2021-06-13

The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.
limxx35x+32x+x234

Answer & Explanation

Alara Mccarthy

Alara Mccarthy

Skilled2021-06-14Added 85 answers

Highest power of x in denominator is x. Divide both numerator and denominator with x.
limxx35x+32x+x234:xx=limxx235+3x2+x134x=
Use that limxxn=0.
=05+02+00=52

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