Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of (8e^x-8)/x as x approaches 0. Factor the polynomial 8e^x-8 by it's greatest common factor (GCF): 8. If we directly evaluate the limit \lim_{x\to0}\left(\frac{8\left(e^x-1\right)}{x}\right) as x tends to 0, we can see that it gives us an indeterminate form. We can solve this limit by applying L'Hôpital's rule, which consists of calculating the derivative of both the numerator and the denominator separately. After deriving both the numerator and denominator, and simplifying, the limit results in.

Find the limit of (8e^x-8)/x as x approaches 0