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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

12

Solution steps

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

Simplify

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

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

Plug in the value

y = - 2

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

Simplify

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

= 12

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