What is the limit as x approaches 0 of (sin(3x))/4 ?

The limit as x approaches 0 of (sin(3x))/4 is 0

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limit as x approaches 0 of (sin(3x))/4

x \to 0 lim (\frac{sin ( 3 x )}{4})

0

Solution steps

x \to 0 lim (\frac{sin ( 3 x )}{4})

Plug in the value

x = 0

= \frac{sin ( 3 \cdot 0 )}{4}

Simplify

\frac{sin ( 3 \cdot 0 )}{4} : 0

= 0

x \to - 3 lim (\frac{x - 4 x}{1 - x})

x \to - 3 lim ((3 x + 4) (7 x - 9))

x \to 0 lim ((x) (ln (x)))

x \to 0 lim (\frac{5 x + 5}{5})

x \to 3 + lim ((x - 3)^{2})

What is the limit as x approaches 0 of (sin(3x))/4 ?
The limit as x approaches 0 of (sin(3x))/4 is 0