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

The limit as x approaches 0 of x/(x^2+3x) is 1/3

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

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

\frac{1}{3}

Solution steps

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

Simplify

\frac{x}{x ^{2} + 3 x} : \frac{1}{x + 3}

= x \to 0 lim (\frac{1}{x + 3})

Plug in the value

x = 0

= \frac{1}{0 + 3}

Simplify

= \frac{1}{3}

\int u^{5} d u

f (x) = \frac{x ( 2 - ln ( 2 ) x )}{2 ^{x}}

\frac{d}{d x} (\frac{x + 1}{4})

x \to 0 lim (\frac{sin ( 4 x )}{x} + 2)

\frac{\partial}{\partial x} (x^{3} + y^{2} - 5 x y)

What is the limit as x approaches 0 of x/(x^2+3x) ?
The limit as x approaches 0 of x/(x^2+3x) is 1/3