Exercise
$\lim_{x\to0}\left(\frac{x^3-4x}{x^2+x}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (x^3-4x)/(x^2+x) as x approaches 0. Factor the polynomial x^3-4x by it's greatest common factor (GCF): x. Factor the polynomial x^2+x by it's greatest common factor (GCF): x. Simplify the fraction \frac{x\left(x^2-4\right)}{x\left(x+1\right)} by x. Evaluate the limit \lim_{x\to0}\left(\frac{x^2-4}{x+1}\right) by replacing all occurrences of x by 0.
Find the limit of (x^3-4x)/(x^2+x) as x approaches 0
Final answer to the exercise
$-4$