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

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

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

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

2

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{2}{0 + 1}

Simplify

= 2

\frac{d}{d x} ((3 x - 4)^{5})

f (t) = sin (t) - t cos (t)

x^{2} y^{^{'}} - 2 x y = 4 y^{4}

\int (2 x + 6) d x

x^{2} - x - 1

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