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