What is the limit as x approaches infinity of-6+1/x ?

The limit as x approaches infinity of-6+1/x is -6

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-6+1/x

x \to \infty lim (- 6 + \frac{1}{x})

- 6

Solution steps

x \to \infty lim (- 6 + \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 (6) + x \to \infty lim (\frac{1}{x})

x \to \infty lim (6) = 6

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

= - 6 + 0

Simplify

= - 6

x \to 0 lim (\frac{tan ( x ) - sin ( x )}{2 x})

x \to 0 lim (\frac{x ^{3} - 8 x}{x ^{2} + 4 x})

x \to 2 lim (7 x)

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

x \to - 5 lim (\frac{x + 5}{∣ x + 5 ∣})

What is the limit as x approaches infinity of-6+1/x ?
The limit as x approaches infinity of-6+1/x is -6