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

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

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

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

6

Solution steps

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

Simplify

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

\frac{\partial}{\partial x} (x^{7} y^{5} - x^{6} y^{4})

\frac{3}{5 s - 2}

\int \frac{2 x + 1}{x ^{3} - x ^{2}} d x

\frac{\partial}{\partial x} (- x y z^{2} + 6)

\frac{d}{d x} (x sin (π) x)

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