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

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

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

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

0

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{0}{3}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

x \to 4 - lim (3 x - 12)

x \to 0 lim (\frac{x}{a} [\frac{b}{x}])

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

x \to - 2 lim ([x])

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

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