Math, asked by mohdaftab20114, 2 months ago

please help me anyone to solve this question!!​

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Answers

Answered by jitendra12iitg
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)5since \boxed{\displaystyle\lim_{x\to 0}\dfrac{\sin x}{x}=1}

=5-5=0

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