Exercise
$\lim_{x\to2}\left(\frac{x^3+x^22x}{x^2-x-6}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^3+x^22x)/(x^2-x+-6) as x approaches 2. When multiplying exponents with same base you can add the exponents: 2x^2x. Add the values 2 and 1. Combining like terms x^3 and 2x^{3}. Evaluate the limit \lim_{x\to2}\left(\frac{3x^{3}}{x^2-x-6}\right) by replacing all occurrences of x by 2.
Find the limit of (x^3+x^22x)/(x^2-x+-6) as x approaches 2
Final answer to the exercise
$-6$