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

The limit as a approaches-2 of (a^3+8)/(a+2) is 12

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limit as a approaches-2 of (a^3+8)/(a+2)

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

12

Solution steps

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

Simplify

\frac{a ^{3} + 8}{a + 2} : a^{2} - 2 a + 4

= a \to - 2 lim (a^{2} - 2 a + 4)

Plug in the value

a = - 2

= (- 2)^{2} - 2 (- 2) + 4

Simplify

(- 2)^{2} - 2 (- 2) + 4 : 12

= 12

What is the limit as a approaches-2 of (a^3+8)/(a+2) ?
The limit as a approaches-2 of (a^3+8)/(a+2) is 12