Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of (x(x-1))/sin(x) as x approaches 0. Multiply the single term x by each term of the polynomial \left(x-1\right). When multiplying two powers that have the same base (x), you can add the exponents. If we directly evaluate the limit \lim_{x\to0}\left(\frac{x^2-x}{\sin\left(x\right)}\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.

Find the limit of (x(x-1))/sin(x) as x approaches 0