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

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

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

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

12

Solution steps

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

Simplify

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

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

Plug in the value

t = - 2

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

Simplify

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

= 12

\frac{d}{d x} (sin (arccos (3 x)))

x \to 3 - lim (3 - x)

y^{^{''}} + 2 y^{^{'}} = 1, y (0) = 1, y^{^{'}} (0) = 0

\int_{0}^{2} 4 d x

\int (e^{x} + e^{- x})^{2} d x

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