What is the limit as x approaches 3 of 3x^2-3x-3 ?

The limit as x approaches 3 of 3x^2-3x-3 is 15

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limit as x approaches 3 of 3x^2-3x-3

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

15

Solution steps

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

Plug in the value

x = 3

= 3 \cdot 3^{2} - 3 \cdot 3 - 3

Simplify

3 \cdot 3^{2} - 3 \cdot 3 - 3 : 15

= 15

x \to 0 lim (\frac{1}{x ^{6}})

x \to \infty lim (\frac{6 e ^{x} + 3 e ^{- x}}{2 e ^{x} + 4 e ^{- x}})

x \to - 4 lim (\frac{1 - 9 x}{x + 4})

x \to 2 lim (\frac{\frac{10}{3 x - 1} - 2}{x ^{2} - 4})

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

What is the limit as x approaches 3 of 3x^2-3x-3 ?
The limit as x approaches 3 of 3x^2-3x-3 is 15