Question

please help me anyone to solve this question!!​

Answer 1

Answer:

The answer is 0

Step-by-step explanation:

Given limit

     $\displaystyle \lim_{x\to 0}\dfrac{5x-\sin 5x}{x}$

 $=\displaystyle \lim_{x\to 0}(5-\dfrac{\sin 5x}{x})$, split the terms

$=\displaystyle \lim_{x\to 0}(5-\dfrac{\sin 5x}{5x}\times 5)\\=5-(1)5$since $\boxed{\displaystyle\lim_{x\to 0}\dfrac{\sin x}{x}=1}$

$=5-5=0$