What is the limit as x approaches 3 of (x^3-3x^2)/(5x-15) ?

The limit as x approaches 3 of (x^3-3x^2)/(5x-15) is 9/5

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limit as x approaches 3 of (x^3-3x^2)/(5x-15)

x \to 3 lim (\frac{x ^{3} - 3 x ^{2}}{5 x - 15})

\frac{9}{5}

Decimal Notation

1.8

Solution steps

x \to 3 lim (\frac{x ^{3} - 3 x ^{2}}{5 x - 15})

Simplify

\frac{x ^{3} - 3 x ^{2}}{5 x - 15} : \frac{x ^{2}}{5}

= x \to 3 lim (\frac{x ^{2}}{5})

Plug in the value

x = 3

= \frac{3 ^{2}}{5}

Simplify

= \frac{9}{5}

x \to 1 lim (ln (x^{2} - 3 x + 2))

x \to - 4 lim (3 x^{2} + 12 x)

x \to 1 lim (\frac{x ^{3} - 3 x}{x})

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

x \to 1 lim (\frac{x ^{4} + x ^{2} - 2}{x ^{2} + 2 x - 3})

What is the limit as x approaches 3 of (x^3-3x^2)/(5x-15) ?
The limit as x approaches 3 of (x^3-3x^2)/(5x-15) is 9/5