What is the limit as x approaches 0 of 1/x+1/(x^2-x) ?

The limit as x approaches 0 of 1/x+1/(x^2-x) is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of 1/x+1/(x^2-x)

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

- 1

Solution steps

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

Simplify

\frac{1}{x} + \frac{1}{x ^{2} - x} : \frac{1}{x - 1}

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

Plug in the value

x = 0

= \frac{1}{0 - 1}

Simplify

= - 1

x \to - 2 lim (12 x + 1)

\frac{d y}{d x} + \frac{y}{100 + x} = 4

\int - \frac{3 x - 1}{( x - 5 ) ( x - 7 ) ^{2}} d x

\int_{0}^{2 π} cos^{3} (x) d x

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

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