What is the limit as x approaches 3 of 2x^3-6x^2 ?

The limit as x approaches 3 of 2x^3-6x^2 is 0

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limit as x approaches 3 of 2x^3-6x^2

x \to 3 lim (2 x^{3} - 6 x^{2})

0

Solution steps

x \to 3 lim (2 x^{3} - 6 x^{2})

Plug in the value

x = 3

= 2 \cdot 3^{3} - 6 \cdot 3^{2}

Simplify

2 \cdot 3^{3} - 6 \cdot 3^{2} : 0

= 0

x \to \frac{5 π}{3} lim (cos (3 x))

x \to \frac{π}{8} lim (tan (24 \cdot x))

x \to 0 lim (x (2))

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

x \to 0 lim (\frac{- ln ( x ) - 1}{1})

What is the limit as x approaches 3 of 2x^3-6x^2 ?
The limit as x approaches 3 of 2x^3-6x^2 is 0