Question

What is $\underset{x\to 0}{lim}\frac{1-\cos x}{x}$ equal to?

• A. $0$
• B. $\frac{1}{2}$
• C. $1$
• D. $2$

Answer 1

Answer: (A)

$0$

Here, if we put $x=0$, we will have $\frac{0}{0}$ form.

So by using L'hospital rule, we have

$\underset{x\to 0}{lim}\frac{1-\cos x}{x}$

$=\underset{x\to 0}{lim}\frac{\sin x}{1}=0$

Hence, A is correct.