What is the limit as x approaches-0.1 of ((e^x-1))/x ?

The limit as x approaches-0.1 of ((e^x-1))/x is 0.95162…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches-0.1 of ((e^x-1))/x

x \to - 0.1 lim (\frac{( e ^{x} - 1 )}{x})

0.95162 \dots

Solution steps

x \to - 0.1 lim (\frac{e ^{x} - 1}{x})

Plug in the value

x = - 0.1

= \frac{e ^{- 0.1} - 1}{- 0.1}

Simplify

\frac{e ^{- 0.1} - 1}{- 0.1} : 0.95162 \dots

= 0.95162 \dots

x \to 0 lim (x^{3} - x^{2} + x - 1)

x \to - 3 lim (x^{4} + 9 x^{2} - 11 x)

x \to 3 lim (\frac{x ^{3} - 3 x ^{2}}{5 x - 15})

x \to 1 lim (ln (x^{2} - 3 x + 2))

x \to - 4 lim (3 x^{2} + 12 x)

What is the limit as x approaches-0.1 of ((e^x-1))/x ?
The limit as x approaches-0.1 of ((e^x-1))/x is 0.95162…