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

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

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

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

0

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{0}{2}

Apply rule

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

= 0

x \to 2 + lim (5 - x)

x \to - 8 lim (5)

x \to - 4 lim (\frac{x + 4}{4 x + 16})

x \to - 2 lim (- x^{2})

x \to 9 lim (\frac{x ^{2} - 81}{7 x - 63})

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