## Step-by-step explanation

Problem to solve:

Learn how to solve limits problems step by step online.

$\lim_{x\to0}\left(\frac{\frac{d}{dx}\left(x-\sin\left(x\right)\right)}{\frac{d}{dx}\left(x-\tan\left(x\right)\right)}\right)$

Learn how to solve limits problems step by step online. Evaluate the limit of (x-sin(x))/(x-tan(x)) as x approaches 0. If we try to evaluate the limit directly, it results in indeterminate form. Then we need to apply L'Hôpital's rule. The derivative of a sum of two functions is the sum of the derivatives of each function. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant (-1) is equal to the constant times the derivative of the function.