What is the limit as x approaches 2 of (x^3-2x^2)/(10x-20) ?

The limit as x approaches 2 of (x^3-2x^2)/(10x-20) is 2/5

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limit as x approaches 2 of (x^3-2x^2)/(10x-20)

x \to 2 lim (\frac{x ^{3} - 2 x ^{2}}{10 x - 20})

\frac{2}{5}

Decimal

0.4

Solution steps

x \to 2 lim (\frac{x ^{3} - 2 x ^{2}}{10 x - 20})

Simplify

\frac{x ^{3} - 2 x ^{2}}{10 x - 20} : \frac{x ^{2}}{10}

= x \to 2 lim (\frac{x ^{2}}{10})

Plug in the value

x = 2

= \frac{2 ^{2}}{10}

Simplify

\frac{2 ^{2}}{10} : \frac{2}{5}

= \frac{2}{5}

x \to \infty lim (\frac{i}{x})

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

\int \frac{6 x}{1 + x ^{2}} d x

x^{2} + x y - y^{2} = - 4, (2, 4)

(2 x - 1)^{3}

What is the limit as x approaches 2 of (x^3-2x^2)/(10x-20) ?
The limit as x approaches 2 of (x^3-2x^2)/(10x-20) is 2/5