What is the limit as x approaches infinity of 3-1/x ?

The limit as x approaches infinity of 3-1/x is 3

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 3-1/x

x \to \infty lim (3 - \frac{1}{x})

3

Solution steps

x \to \infty lim (3 - \frac{1}{x})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (3) - x \to \infty lim (\frac{1}{x})

x \to \infty lim (3) = 3

x \to \infty lim (\frac{1}{x}) = 0

= 3 - 0

Simplify

= 3

\int x^{2} sin (7 x) d x

\frac{z}{1 + z ^{2}}

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

\frac{\partial}{\partial t} (t^{6} e^{- x})

\int x^{2} cos (a x) d x

What is the limit as x approaches infinity of 3-1/x ?
The limit as x approaches infinity of 3-1/x is 3