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

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

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

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

6

Solution steps

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

Plug in the value

x = - 3

= \frac{( - 3 ) ^{3} - 3 ( - 3 )}{- 3}

Simplify

\frac{( - 3 ) ^{3} - 3 ( - 3 )}{- 3} : 6

= 6

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