What is the limit as x approaches 4 of 2/((x+4)^3) ?

The limit as x approaches 4 of 2/((x+4)^3) is 1/256

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limit as x approaches 4 of 2/((x+4)^3)

x \to 4 lim (\frac{2}{( x + 4 ) ^{3}})

\frac{1}{256}

Decimal Notation

0.00390625

Solution steps

x \to 4 lim (\frac{2}{( x + 4 ) ^{3}})

Plug in the value

x = 4

= \frac{2}{( 4 + 4 ) ^{3}}

Simplify

\frac{2}{( 4 + 4 ) ^{3}} : \frac{1}{256}

= \frac{1}{256}

3 e^{- 2 t} cos (t)

t^{2} + 1

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\int \frac{5 x - 3}{x ^{2} + 4} d x

\int \frac{1}{x ^{2} + 4 x + 13} d x

What is the limit as x approaches 4 of 2/((x+4)^3) ?
The limit as x approaches 4 of 2/((x+4)^3) is 1/256