What is the limit as x approaches+0 of (tan(6x))/(sin(4x)) ?

The limit as x approaches+0 of (tan(6x))/(sin(4x)) is 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches+0 of (tan(6x))/(sin(4x))

x \to + 0 lim (\frac{tan ( 6 x )}{sin ( 4 x )})

\frac{3}{2}

Decimal

1.5

Solution steps

x \to 0 lim (\frac{tan ( 6 x )}{sin ( 4 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{tan ( 6 x )}{sin ( 4 x )}) = \frac{3}{2}

x \to 0 + lim (\frac{tan ( 6 x )}{sin ( 4 x )}) = \frac{3}{2}

= \frac{3}{2}

What is the limit as x approaches+0 of (tan(6x))/(sin(4x)) ?
The limit as x approaches+0 of (tan(6x))/(sin(4x)) is 3/2