What is the limit as x approaches infinity of x+4/x ?

The limit as x approaches infinity of x+4/x is infinity

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 x+4/x

x \to \infty lim (x + \frac{4}{x})

\infty

Solution steps

x \to \infty lim (x + \frac{4}{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 (x) + x \to \infty lim (\frac{4}{x})

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

x \to \infty lim (\frac{4}{x}) = 0

= \infty + 0

Apply Infinity Property:

\infty + c = \infty

= \infty

x \to e lim (ln^{2} (2 x - e))

x \to \infty lim (I n x)

x \to 4 + lim (sec (\frac{π x}{8}))

x \to 0 lim ((x - 5) e^{\frac{1}{x}})

x \to \infty lim (4^{2 x})

What is the limit as x approaches infinity of x+4/x ?
The limit as x approaches infinity of x+4/x is infinity