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

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

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

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

12

Solution steps

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

Simplify

\frac{( h + 2 ) ^{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

\int \frac{1}{y} d y

\int_{0}^{1} 5 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

(\frac{8 x + 5}{8 x - 5})^{\frac{1}{2}}

e^{r} + r^{e}

f (x) = \frac{2 x}{3 - tan ( x )}

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