What is the limit as x approaches 0 of (3x)/(x^2+2x) ?

The limit as x approaches 0 of (3x)/(x^2+2x) is 3/2

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limit as x approaches 0 of (3x)/(x^2+2x)

x \to 0 lim (\frac{3 x}{x ^{2} + 2 x})

\frac{3}{2}

Decimal Notation

1.5

Solution steps

x \to 0 lim (\frac{3 x}{x ^{2} + 2 x})

Simplify

\frac{3 x}{x ^{2} + 2 x} : \frac{3}{x + 2}

= x \to 0 lim (\frac{3}{x + 2})

Plug in the value

x = 0

= \frac{3}{0 + 2}

Simplify

= \frac{3}{2}

\frac{2}{x}

\frac{\partial}{\partial x} (4 - x)

\int f (g (x))

\int_{0}^{2} \frac{1}{x} d x

\frac{d}{d x} (sin^{n} (x))

What is the limit as x approaches 0 of (3x)/(x^2+2x) ?
The limit as x approaches 0 of (3x)/(x^2+2x) is 3/2