Question

$\underset{x\to 0}{\lim }$$\frac{{\int }_0^{x}tsin\left(10t\right)dt}{x}$ is equal to :

• A. $0$
• B. $\frac{1}{10}$
• C. $-\frac{1}{10}$
• D. $-\frac{1}{5}$

Answer 1

Answer: (A)

Using L.H. Rule
$li{m}_{x\to 0}\frac{xsin\left(10x\right)}{1}=0$