Q. 57 - Calculus

Question

$\underset{x\to 0}{\lim }\frac{\sin x}{\cos x}$

Step-by-Step Solution

Answer

$\underset{x\to 0}{\lim }\frac{\sin x}{\cos x}=0$

Step 1. Given information

$\underset{x\to 0}{\lim }\frac{\sin x}{\cos x}$

Step 2. Plug in the values

$\underset{x\to 0}{\lim }\frac{\sin x}{\cos x}=\frac{\sin \left(0\right)}{\cos \left(0\right)}$

$\underset{x\to 0}{\lim }\frac{\sin x}{\cos x}=0$