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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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