What is the limit as x approaches 0 of x/(e^x-1) ?

The limit as x approaches 0 of x/(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 0 of x/(e^x-1)

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

1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

= \frac{1}{e ^{0}}

Simplify

= 1

f (s) = ln (ln (6 s))

\int_{0}^{1} \frac{x}{x + 1} d x

\frac{d}{d x} (f (x) (x^{2} - x))

y^{^{''}} - 2 y^{^{'}} + y = e^{x}

\frac{8}{( s - 4 ) \cdot ( s + 4 ) ^{2}}

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