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

The limit as x approaches 0 of x/(x^2+2x) is 1/2

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

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{1}{0 + 2}

Simplify

= \frac{1}{2}

\int_{0}^{2} x 7 - x^{2} d x

(11, 6), (16, y)

\frac{\partial}{\partial y} (y (e^{x} - 1))

\int (sec^{2} (x) - 1) d x

x \to - 2 lim (2 x + 9)

What is the limit as x approaches 0 of x/(x^2+2x) ?
The limit as x approaches 0 of x/(x^2+2x) is 1/2