Exercise
$\lim_{x\to1}\left(\frac{xe^x-e}{x^2-1}\right)$
Step-by-step Solution
Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of (xe^x-e)/(x^2-1) as x approaches 1. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}.
Find the limit of (xe^x-e)/(x^2-1) as x approaches 1
Final answer to the exercise
$e$