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

The limit as x approaches 2 of x^3+2x-8 is 4

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limit as x approaches 2 of x^3+2x-8

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

4

Solution steps

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

Plug in the value

x = 2

= 2^{3} + 2 \cdot 2 - 8

Simplify

= 4

x \to 0 lim (\frac{x - 3}{x ^{2} - 9})

x \to 0 lim (\frac{x ^{2}}{x + 5})

x \to - \frac{1}{2} lim (- \frac{7}{2 x + 1})

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

x \to - 2 lim ((x^{2} - 4 x + 5)^{2})

What is the limit as x approaches 2 of x^3+2x-8 ?
The limit as x approaches 2 of x^3+2x-8 is 4