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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 1 of e^{-x}

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

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

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

Plug in the value

x = 1

= e^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{e}

f (x) = (2 x - 1) (x + 2), at x = (1.3)

\int \frac{ln ( 14 x )}{x ^{6}} d x

ln (t + 1)

\frac{\partial}{\partial x} (e^{- 3 y} cos (- 3 x))

\int \frac{1}{1 + t ^{2}} d t

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