What is the limit as x approaches 1 of 1/(1+e^{1/x)} ?

The limit as x approaches 1 of 1/(1+e^{1/x)} is 1/(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 1/(1+e^{1/x)}

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

\frac{1}{1 + e}

Decimal

0.26894 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{1}{1 + e ^{\frac{1}{1}}}

Simplify

= \frac{1}{1 + e}

x \to 1 lim ((x - 1) \cdot ln (x - 1))

x \to - 1 lim (cos (2 π x - π))

x \to \infty lim (x^{2} - 6 x)

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

x \to π lim (x - π)

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