What is the limit as x approaches 0.1 of (5sin(x))/x ?

The limit as x approaches 0.1 of (5sin(x))/x is 4.99167…

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limit as x approaches 0.1 of (5sin(x))/x

x \to 0.1 lim (\frac{5 sin ( x )}{x})

4.99167 \dots

Solution steps

x \to 0.1 lim (\frac{5 sin ( x )}{x})

Plug in the value

x = 0.1

= \frac{5 sin ( 0.1 )}{0.1}

Simplify

\frac{5 sin ( 0.1 )}{0.1} : 4.99167 \dots

= 4.99167 \dots

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\int_{\frac{π}{4}}^{π} sin (2 x) d x

e^{\frac{7}{x}}

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What is the limit as x approaches 0.1 of (5sin(x))/x ?
The limit as x approaches 0.1 of (5sin(x))/x is 4.99167…