Exercise
$\lim_{x\to-1}\left(\frac{x^3+2x^2-3x}{x^3-x}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^3+2x^2-3x)/(x^3-x) as x approaches -1. Factor the polynomial x^3+2x^2-3x by it's greatest common factor (GCF): x. Factor the polynomial x^3-x by it's greatest common factor (GCF): x. Simplify the fraction \frac{x\left(x^2+2x-3\right)}{x\left(x^2-1\right)} by x. Evaluate the limit \lim_{x\to-1}\left(\frac{x^2+2x-3}{x^2-1}\right) by replacing all occurrences of x by -1.
Find the limit of (x^3+2x^2-3x)/(x^3-x) as x approaches -1
Final answer to the exercise
The limit does not exist