Question

Please help me find the limit of (2x-5)/(3x+7) as x approaches positive infinity.

Answer 1

I solved using L'Hopital's rule and the limit is 2/3 but I do not know how to solve it algebraically.

Answer 2

The degree of the numerator is 1.

The degree of the denominator is 1.

Since the degrees are equal, you compute the ratio of the leading terms or the leading coefficients.

Answer 3

Ok what if x were approaching negative infinity? Same rules apply?

Answer 4

that is correct

Answer 5

if x is some very very large negative number, then the two negatives will cancel (when you divide the x terms) leaving you with 2/3

Answer 6

ok thanks