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

The limit as x approaches 3 of (sin(3x))/x is 1/3 sin(9)

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

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

\frac{1}{3} sin (9)

Decimal

0.13737 \dots

Solution steps

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

Plug in the value

x = 3

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

Simplify

\frac{sin ( 3 \cdot 3 )}{3} : \frac{1}{3} sin (9)

= \frac{1}{3} sin (9)

\int \frac{x}{( x ^{2} + 6 ) ^{2}} d x

\frac{\partial}{\partial x} (3 e^{s i n (x + 4 c t)})

\frac{( x + 1 ) d y}{d x} + (x + 2) y = 2 x e^{- x}

\int \frac{c}{x} d x

x \to 0.1 lim (\frac{e ^{5 x} - 1}{x})

What is the limit as x approaches 3 of (sin(3x))/x ?
The limit as x approaches 3 of (sin(3x))/x is 1/3 sin(9)