What is the limit as x approaches 0 of (sin(3x))/(sin(6x)) ?

The limit as x approaches 0 of (sin(3x))/(sin(6x)) is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of (sin(3x))/(sin(6x))

x \to 0 lim (\frac{sin ( 3 x )}{sin ( 6 x )})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to 0 lim (\frac{sin ( 3 x )}{sin ( 6 x )})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{sin ( 3 x )}{sin ( 6 x )}) = \frac{1}{2}

x \to 0 + lim (\frac{sin ( 3 x )}{sin ( 6 x )}) = \frac{1}{2}

= \frac{1}{2}

\int 3 e^{x} - 9 cos (x) + C d x

4 x^{3}

\frac{d y}{d x} = tan (x) + sec (x)

\frac{cos ( x )}{2 sin ( x )}

\frac{\partial}{\partial v} (4 u sin (v))

What is the limit as x approaches 0 of (sin(3x))/(sin(6x)) ?
The limit as x approaches 0 of (sin(3x))/(sin(6x)) is 1/2