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 \cdot 2 + 4

Simplify

= 12

\frac{d}{d x} (3 x^{8})

x \to - 1 lim (4 x^{2} + 6)

x \to 0 - lim (e^{c o t (x)})

x y^{^{'}} - 2 y = 3 x

(1 + (y^{^{'}})^{2})^{\frac{3}{2}} = y^{^{''}}

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