What is the limit as x approaches infinity of-9/x ?

The limit as x approaches infinity of-9/x is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches infinity of-9/x

x \to \infty lim (- \frac{9}{x})

0

Solution steps

x \to \infty lim (- \frac{9}{x})

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

= - 9 \cdot x \to \infty lim (\frac{1}{x})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= - 9 \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x )}

x \to \infty lim (1) = 1

x \to \infty lim (x) = \infty

= - 9 \cdot \frac{1}{\infty}

Simplify

- 9 \cdot \frac{1}{\infty} : 0

= 0

What is the limit as x approaches infinity of-9/x ?
The limit as x approaches infinity of-9/x is 0