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

x \to - \infty lim (x^{4} + 4 x)

x \to - 5 - lim (- \frac{3 x}{x + 5})

x \to 1 lim (\frac{5 x - 1}{x + 1})

x \to 0 - lim (∣ x ∣^{x})

x \to - 2 lim (2 x^{2} + 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