What is the limit as x approaches 0 of (2+x)^3-8x ?

The limit as x approaches 0 of (2+x)^3-8x is 8

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limit as x approaches 0 of (2+x)^3-8x

x \to 0 lim ((2 + x)^{3} - 8 x)

8

Solution steps

x \to 0 lim ((2 + x)^{3} - 8 x)

Plug in the value

x = 0

= (2 + 0)^{3} - 8 \cdot 0

Simplify

= 8

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

t \to 0 lim (\frac{e ^{- 7 t} - 1}{t})

x \to 0 lim (3 - 3 x + 6 x^{2})

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

x \to \infty lim ((\frac{1}{1 + \frac{5}{x}})^{x})

What is the limit as x approaches 0 of (2+x)^3-8x ?
The limit as x approaches 0 of (2+x)^3-8x is 8