Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of cot(2x)sin(4x) as x approaches 0. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Multiplying the fraction by \sin\left(4x\right). If we directly evaluate the limit \lim_{x\to0}\left(\frac{\cos\left(2x\right)\sin\left(4x\right)}{\sin\left(2x\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 cot(2x)sin(4x) as x approaches 0