What is the limit as x approaches infinity of (sin(13x))/(3x) ?

The limit as x approaches infinity of (sin(13x))/(3x) is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches infinity of (sin(13x))/(3x)

x \to \infty lim (\frac{sin ( 13 x )}{3 x})

0

Solution steps

x \to \infty lim (\frac{sin ( 13 x )}{3 x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{3} \cdot x \to \infty lim (\frac{sin ( 13 x )}{x})

Apply the Squeeze Theorem:

0

= \frac{1}{3} \cdot 0

Simplify

= 0

\frac{d}{d x} ((x + 2 y) (x^{2} y + x y^{2}))

f (x) = x^{3} - 27 x + 9

\int \frac{5}{( 5 x + 2 ) ln ( 5 x + 2 )} d x

x \to 1 lim (x - 9)

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

What is the limit as x approaches infinity of (sin(13x))/(3x) ?
The limit as x approaches infinity of (sin(13x))/(3x) is 0