Learn how to solve limits by direct substitution problems step by step online. Find the limit of 6/(x-2) 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{x}{x} by x. Evaluate the limit \lim_{x\to\infty }\left(\frac{\frac{6}{x}}{1+\frac{-2}{x}}\right) by replacing all occurrences of x by \infty .

Find the limit of 6/(x-2) as x approaches infinity