What is the limit as x approaches 0 of 3/(x^2+x)-3/x ?

The limit as x approaches 0 of 3/(x^2+x)-3/x is -3

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 3/(x^2+x)-3/x

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

- 3

Solution steps

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

Simplify

\frac{3}{x ^{2} + x} - \frac{3}{x} : - \frac{3}{x + 1}

= x \to 0 lim (- \frac{3}{x + 1})

Plug in the value

x = 0

= - \frac{3}{0 + 1}

Simplify

= - 3

What is the limit as x approaches 0 of 3/(x^2+x)-3/x ?
The limit as x approaches 0 of 3/(x^2+x)-3/x is -3