What is the limit as x approaches 2 of (x+3)^{-3} ?

The limit as x approaches 2 of (x+3)^{-3} is 1/125

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limit as x approaches 2 of (x+3)^{-3}

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

\frac{1}{125}

Decimal Notation

0.008

Solution steps

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

Plug in the value

x = 2

= (2 + 3)^{- 3}

Simplify

(2 + 3)^{- 3} : \frac{1}{125}

= \frac{1}{125}

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What is the limit as x approaches 2 of (x+3)^{-3} ?
The limit as x approaches 2 of (x+3)^{-3} is 1/125