Another Limit

Calculus Level 1

Evaluate

$\displaystyle \lim_{x \to 0} \frac {\sin {\frac {10x }{\pi}}}{x}$

Write your answer to 2 decimal places.

The answer is 3.18.

1 solution

Guillermo Templado
Feb 20, 2016

$\boxed{1.-}$ $\lim_{x\to 0} \frac{\sin \frac{10x}{\pi}}{x} = \lim_{x\to 0} \frac{\frac{10x}{\pi}}{x} = \frac{10}{\pi} = 3.18...$ $\boxed{2.-}$ Applying L'Hopital's Rule

Another Limit

The answer is 3.18.

1 solution

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