What is the limit as x approaches 0 of (sin(4x))/2 ?

The limit as x approaches 0 of (sin(4x))/2 is 0

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limit as x approaches 0 of (sin(4x))/2

x \to 0 lim (\frac{sin ( 4 x )}{2})

0

Solution steps

x \to 0 lim (\frac{sin ( 4 x )}{2})

Plug in the value

x = 0

= \frac{sin ( 4 \cdot 0 )}{2}

Simplify

\frac{sin ( 4 \cdot 0 )}{2} : 0

= 0

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What is the limit as x approaches 0 of (sin(4x))/2 ?
The limit as x approaches 0 of (sin(4x))/2 is 0