What is the limit as n approaches infinity of 2-1/n ?

The limit as n approaches infinity of 2-1/n is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as n approaches infinity of 2-1/n

n \to \infty lim (2 - \frac{1}{n})

2

Solution steps

n \to \infty lim (2 - \frac{1}{n})

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

= n \to \infty lim (2) - n \to \infty lim (\frac{1}{n})

n \to \infty lim (2) = 2

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

= 2 - 0

Simplify

= 2

x \to 0 + lim (x cos (\frac{π}{x}))

x \to \infty lim (\frac{1. 1 ^{x}}{x})

x \to 4 lim (\frac{1}{2 x})

x \to \frac{4}{5} lim (\frac{1}{5 x - 4})

x \to 2 lim (\frac{x - 2}{x + 4})

What is the limit as n approaches infinity of 2-1/n ?
The limit as n approaches infinity of 2-1/n is 2