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

The limit as x approaches-1 of (e^{x^2}-1)/x is -e+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-1 of (e^{x^2}-1)/x

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

- e + 1

Decimal

- 1.71828 \dots

Solution steps

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

Plug in the value

x = - 1

= \frac{e ^{(- 1)^{2}} - 1}{- 1}

Simplify

\frac{e ^{(- 1)^{2}} - 1}{- 1} : - e + 1

= - e + 1

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

x \to 0 lim (\frac{x ^{4}}{1 + x ^{5}})

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

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

x \to - 2 + 1 lim (\frac{1}{x - 2})

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