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

The limit as x approaches 2 of 2x^3-3x is 10

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

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

10

Solution steps

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

Plug in the value

x = 2

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

Simplify

2 \cdot 2^{3} - 3 \cdot 2 : 10

= 10

x \to - 1 lim (\frac{1 + x ^{2}}{1 - x})

t \to 0 lim (\frac{2 sin ( t )}{t})

x \to 4 + lim (e^{\frac{2}{x}})

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

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

What is the limit as x approaches 2 of 2x^3-3x ?
The limit as x approaches 2 of 2x^3-3x is 10