What is the limit as x approaches infinity of 8-e^x ?

The limit as x approaches infinity of 8-e^x is -infinity

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 8-e^x

x \to \infty lim (8 - e^{x})

- \infty

Solution steps

x \to \infty lim (8 - e^{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 (8) - x \to \infty lim (e^{x})

x \to \infty lim (8) = 8

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

= 8 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\int \frac{3 ( x - 3 ) ^{2}}{16} d x

\frac{( 2 e ^{x} )}{x ^{2}}

\int (x + 7) d x

\frac{d}{d x} (sin (5 x) + cos (5 x))

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

What is the limit as x approaches infinity of 8-e^x ?
The limit as x approaches infinity of 8-e^x is -infinity