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

The limit as x approaches 2 of (sin(2x))/x is 1/2 sin(4)

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

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

\frac{1}{2} sin (4)

Decimal Notation

- 0.37840 \dots

Solution steps

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

Plug in the value

x = 2

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

Simplify

\frac{sin ( 2 \cdot 2 )}{2} : \frac{1}{2} sin (4)

= \frac{1}{2} sin (4)

y = x (81.9)

f (x) = 6 cos (\frac{π}{6})

3 (1 + t^{2}) \frac{d y}{d t} = 2 t y (y^{3} - 1)

\int_{0}^{7} \frac{x}{x ^{2} - 1} d x

6 x e^{- x}

What is the limit as x approaches 2 of (sin(2x))/x ?
The limit as x approaches 2 of (sin(2x))/x is 1/2 sin(4)