What is the limit as x approaches 0 of 6/(x^2+x)-6/x ?

The limit as x approaches 0 of 6/(x^2+x)-6/x is -6

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limit as x approaches 0 of 6/(x^2+x)-6/x

x \to 0 lim (\frac{6}{x ^{2} + x} - \frac{6}{x})

- 6

Solution steps

x \to 0 lim (\frac{6}{x ^{2} + x} - \frac{6}{x})

Simplify

\frac{6}{x ^{2} + x} - \frac{6}{x} : - \frac{6}{x + 1}

= x \to 0 lim (- \frac{6}{x + 1})

Plug in the value

x = 0

= - \frac{6}{0 + 1}

Simplify

= - 6

\int_{- 1}^{3} x (x - 1) (x + 2) d x

\int x^{3} x^{2} + 19 d x

y = \frac{4}{5 x + 1}, (- 1, - 1)

\frac{9}{x ^{2}} - \frac{3}{x}

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

What is the limit as x approaches 0 of 6/(x^2+x)-6/x ?
The limit as x approaches 0 of 6/(x^2+x)-6/x is -6