What is the limit as x approaches-infinity of 3+4/x ?

The limit as x approaches-infinity of 3+4/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+4/x

x \to - \infty lim (3 + \frac{4}{x})

3

Solution steps

x \to - \infty lim (3 + \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 (3) + x \to - \infty lim (\frac{4}{x})

x \to - \infty lim (3) = 3

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

= 3 + 0

Simplify

= 3

x \to 0 lim (\frac{sin ( π ) x}{x})

x \to 0 lim (\frac{sin ( 3 x )}{4})

x \to - 3 lim (\frac{x - 4 x}{1 - x})

x \to - 3 lim ((3 x + 4) (7 x - 9))

x \to 0 lim ((x) (ln (x)))

What is the limit as x approaches-infinity of 3+4/x ?
The limit as x approaches-infinity of 3+4/x is 3