What is the limit as x approaches 3 of (sin(x))/x ?

The limit as x approaches 3 of (sin(x))/x is (sin(3))/3

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limit as x approaches 3 of (sin(x))/x

x \to 3 lim (\frac{sin ( x )}{x})

\frac{sin ( 3 )}{3}

Decimal

0.04704 \dots

Solution steps

x \to 3 lim (\frac{sin ( x )}{x})

Plug in the value

x = 3

= \frac{sin ( 3 )}{3}

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What is the limit as x approaches 3 of (sin(x))/x ?
The limit as x approaches 3 of (sin(x))/x is (sin(3))/3