What is the limit as x approaches 0 of e^{x-1} ?

The limit as x approaches 0 of e^{x-1} 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 0 of e^{x-1}

x \to 0 lim (e^{x - 1})

\frac{1}{e}

Decimal

0.36787 \dots

Solution steps

x \to 0 lim (e^{x - 1})

Plug in the value

x = 0

= e^{0 - 1}

Simplify

e^{0 - 1} : \frac{1}{e}

= \frac{1}{e}

x \to 0 lim (\frac{1 - cos ( 7 x )}{1 - cos ( 3 x )})

x \to 0 lim (x^{l n (x + 1)})

x \to - 1 lim (ln ∣ 1 + x ∣)

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

x \to 1 - lim (x^{2} - 1)

What is the limit as x approaches 0 of e^{x-1} ?
The limit as x approaches 0 of e^{x-1} is 1/e