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

The limit as x approaches 3 of (x^3-9x)/((x^2)-3x) is 6

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limit as x approaches 3 of (x^3-9x)/((x^2)-3x)

x \to 3 lim (\frac{x ^{3} - 9 x}{( x ^{2} ) - 3 x})

6

Solution steps

x \to 3 lim (\frac{x ^{3} - 9 x}{x ^{2} - 3 x})

Simplify

\frac{x ^{3} - 9 x}{x ^{2} - 3 x} : x + 3

= x \to 3 lim (x + 3)

Plug in the value

x = 3

= 3 + 3

Simplify

= 6

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

\int \frac{18}{18 + e ^{x}} d x

3^{x^{3}}

p (x) = (x - 3)^{3} - (x - 2)^{2} + 31

\int_{\frac{1}{2}}^{1} \frac{x + 4}{x ^{2} + x} d x

What is the limit as x approaches 3 of (x^3-9x)/((x^2)-3x) ?
The limit as x approaches 3 of (x^3-9x)/((x^2)-3x) is 6