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

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

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

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

12

Solution steps

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

Simplify

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

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

Plug in the value

h = - 2

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

Simplify

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

= 12

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