evaluate the limit

Question

evaluate lim x→-∞ x^2+2x/x-3x^2

Answer 1

First, my assumption is that the function in question is (x² - 2x)/(x - 3x²)

To find the limit, first divide the top and bottom of the equation by x².

you'll get (1 - (2/x) ) / ( (1/x) - 3)

as x approaches infinity (negative or otherwise),— 1/x and 2/x will both approach zero so

lim_{x—> -∞} (1 - (2/x) ) / ( (1/x) - 3) = (1/(-3)) = -1/3