What is the limit as x approaches 0 of (-2e^{-x})/(2x-2) ?

The limit as x approaches 0 of (-2e^{-x})/(2x-2) 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 (-2e^{-x})/(2x-2)

x \to 0 lim (\frac{- 2 e ^{- x}}{2 x - 2})

1

Solution steps

x \to 0 lim (\frac{- 2 e ^{- x}}{2 x - 2})

Plug in the value

x = 0

= \frac{- 2 e ^{- 0}}{2 \cdot 0 - 2}

Simplify

\frac{- 2 e ^{- 0}}{2 \cdot 0 - 2} : 1

= 1

\int \frac{e ^{4 x}}{- 4 x} d x

x \to + 0 lim (\frac{( 3 e ^{x} - 3 )}{x})

\int_{0}^{1} 0.5 e^{- 2 x} d x

\int 2 xx d x

\frac{x + 1}{3 x ^{2} + 6 x + 7}

What is the limit as x approaches 0 of (-2e^{-x})/(2x-2) ?
The limit as x approaches 0 of (-2e^{-x})/(2x-2) is 1