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

The limit as t approaches-2 of (t+2)/(t^3+8) is 1/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{1}{12}

Decimal

0.08333 \dots

Solution steps

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

Simplify

\frac{t + 2}{t ^{3} + 8} : \frac{1}{t ^{2} - 2 t + 4}

= t \to - 2 lim (\frac{1}{t ^{2} - 2 t + 4})

Plug in the value

t = - 2

= \frac{1}{( - 2 ) ^{2} - 2 ( - 2 ) + 4}

Simplify

\frac{1}{( - 2 ) ^{2} - 2 ( - 2 ) + 4} : \frac{1}{12}

= \frac{1}{12}

e^{x - 2} - \frac{x}{2}

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

\frac{d}{d t} (arctan (\frac{y}{x}))

\int \frac{1}{e ^{x} cos ^{2} ( e ^{- x} )} d x

\int y cos (y) d y

What is the limit as t approaches-2 of (t+2)/(t^3+8) ?
The limit as t approaches-2 of (t+2)/(t^3+8) is 1/12