Learn how to solve limits by direct substitution problems step by step online. Find the limit of (4x+8)/(3x^2-3x+-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{3x^2}{x^2} by x^2. Simplify the fraction by x.

Find the limit of (4x+8)/(3x^2-3x+-5) as x approaches infinity