Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits. lim x->oo (x−3)/(sqrt 4x^2+25)

illusiia

illusiia

Answered question

2021-09-25

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. limxx34x2+25

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2021-09-26Added 100 answers

Highest power of x in denominator is x2, but since it is beneath square root, we are going to divide both numenator and denominator with x. limxx34x2+25:xx=limx1(3x)(4+(25x2))=104+0=12

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