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

The limit as x approaches 0 of (e^x)/(x^2-x) is diverges

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 (e^x)/(x^2-x)

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

\int \frac{( x - 1 )}{x} d x

\frac{d}{d x} (ln (x + 3 + x^{2}))

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

- 8 x^{2} y + y^{^{'}} = - 5 x^{2}

\int \frac{1}{3 - 4 sin ^{2} ( x )} d x

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