Final answer to the problem
Step-by-step Solution
Specify the solving method
Factor the polynomial $x^2-2x$ by it's greatest common factor (GCF): $x$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to2}\left(\frac{x\left(x-2\right)}{4-x^2}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^2-2x)/(4-x^2) as x approaches 2. Factor the polynomial x^2-2x by it's greatest common factor (GCF): x. Factor the difference of squares 4-x^2 as the product of two conjugated binomials. Simplify \frac{x\left(x-2\right)}{\left(2+x\right)\left(2-x\right)} multiplying the denominator by -1. Evaluate the limit \lim_{x\to2}\left(\frac{-x}{2+x}\right) by replacing all occurrences of x by 2.