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

The limit as h approaches 0 of ((2-h)^3-8)/h is -12

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limit as h approaches 0 of ((2-h)^3-8)/h

h \to 0 lim (\frac{( 2 - h ) ^{3} - 8}{h})

- 12

Solution steps

h \to 0 lim (\frac{( 2 - h ) ^{3} - 8}{h})

Simplify

\frac{( 2 - h ) ^{3} - 8}{h} : - h^{2} + 6 h - 12

= h \to 0 lim (- h^{2} + 6 h - 12)

Plug in the value

h = 0

= - 0^{2} + 6 \cdot 0 - 12

Simplify

= - 12

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What is the limit as h approaches 0 of ((2-h)^3-8)/h ?
The limit as h approaches 0 of ((2-h)^3-8)/h is -12