What is the limit as x approaches infinity-of 2/x-3 ?

The limit as x approaches infinity-of 2/x-3 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 2/x-3

x \to \infty - lim (\frac{2}{x} - 3)

- 3

Solution steps

x \to \infty lim (\frac{2}{x} - 3)

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 (\frac{2}{x}) - x \to \infty lim (3)

x \to \infty lim (\frac{2}{x}) = 0

x \to \infty lim (3) = 3

= 0 - 3

Simplify

= - 3

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

h \to 0 lim (\frac{ln ( 1 + h ) - 0}{h})

x \to 0 lim (5 x^{2} + 4 x + 8)

x \to \infty lim (\frac{10 x ^{3} - 7 x + 2}{2 x ^{2} + 9 x + 6 x ^{3}})

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

What is the limit as x approaches infinity-of 2/x-3 ?
The limit as x approaches infinity-of 2/x-3 is -3