Question

How do you find the limit of `((x/(x+1))((2x+5)/(x^2+x))` as x approaches `-2^+`?

Answer 1

Neither denominator is `0` at `-2`, so use substitution.

Explanation:

`lim_(xrarr-2^+)((x/(x+1))((2x+5)/(x^2+x))) = (((-2)/((-2)+1))((2(-2)+5)/((-2)^2+(-2)))) = (2)(1/2) = 1`