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} : x (x + 1)

= x \to 0 lim (x (x + 1))

Plug in the value

x = 0

= 0 \cdot (0 + 1)

Simplify

= 0

x \to 1 lim (x^{n})

x \to - 4 lim (\frac{x + 3}{x + 4})

x \to 0 lim (\frac{1 2 ^{4 x} - 1}{2 x})

x \to 5 lim (x^{2} + 11)

x \to 0 + lim (e^{x^{2} l n (x)})

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