What is the limit as x approaches infinity of-e^{-x}-1 ?

The limit as x approaches infinity of-e^{-x}-1 is -1

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-e^{-x}-1

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

- 1

Solution steps

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

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

x \to \infty lim (e^{- x}) = 0

x \to \infty lim (1) = 1

= - 0 - 1

Simplify

= - 1

h \to 0 lim (\frac{( a + h ) ^{\frac{2}{3}} - a ^{\frac{2}{3}}}{h})

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

x \to 5 lim (\frac{x ^{2} - 4}{x - 2})

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

x \to \infty lim (\frac{2}{3 + 4 ^{\frac{1}{x}}})

What is the limit as x approaches infinity of-e^{-x}-1 ?
The limit as x approaches infinity of-e^{-x}-1 is -1