What is the limit as h approaches 0 of ((h-1)^3+1)/h ?

The limit as h approaches 0 of ((h-1)^3+1)/h is 3

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limit as h approaches 0 of ((h-1)^3+1)/h

h \to 0 lim (\frac{( h - 1 ) ^{3} + 1}{h})

3

Solution steps

h \to 0 lim (\frac{( h - 1 ) ^{3} + 1}{h})

Simplify

\frac{( h - 1 ) ^{3} + 1}{h} : h^{2} - 3 h + 3

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

Plug in the value

h = 0

= 0^{2} - 3 \cdot 0 + 3

Simplify

= 3

What is the limit as h approaches 0 of ((h-1)^3+1)/h ?
The limit as h approaches 0 of ((h-1)^3+1)/h is 3