For which value of the integer does the limit _ x 7x^ m -2 3x^ 5 +4 exist and take a…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For which value of the integer

m

does the limit

\lim_{x\to\infty}\frac{7x^{m}-2}{3x^{5}+4}

exist and take a finite non-zero value? (a)

m=4

(b)

m=6

(c)

m=5

(d)

m=7