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

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

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

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

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

Decimal Notation

0.22732 \dots

Solution steps

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

Plug in the value

x = - 2

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

Simplify

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

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

\int \frac{x + 1}{x ^{2} + 2 x + 3} d x

\int \frac{e ^{3 x}}{9 + 4 e ^{6 x}} d x

\frac{2}{s ^{5}}

x \to 0 lim (\frac{( 2 + x ) ^{3} - 8}{x})

\int - 4 sin (4 x) d x

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