Learn how to solve limits by direct substitution problems step by step online. Find the limit of (8x+2)/(4x-5) as x approaches -infinity. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction \frac{8x}{x} by x. Evaluate the limit \lim_{x\to{- \infty }}\left(\frac{8+\frac{2}{x}}{4+\frac{-5}{x}}\right) by replacing all occurrences of x by - \infty .

Find the limit of (8x+2)/(4x-5) as x approaches -infinity