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 \cdot 3}{3}

Simplify

= 6

x \to 0 lim (\frac{csc ( 7 x )}{csc ( 3 x )})

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

x \to 3 lim (\frac{1}{x ^{8.132}})

x \to 5 - lim (\frac{1}{5 - x})

x \to \frac{π}{2} lim (x sec (x))

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