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

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

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

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

0

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{0 ^{2}}{0 + 1}

Simplify

\frac{0 ^{2}}{0 + 1} : 0

= 0

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