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

The limit as x approaches 2 of 2/((x+2)^2) is 1/8

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

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

\frac{1}{8}

Decimal Notation

0.125

Solution steps

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

Plug in the value

x = 2

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

Simplify

\frac{2}{( 2 + 2 ) ^{2}} : \frac{1}{8}

= \frac{1}{8}

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What is the limit as x approaches 2 of 2/((x+2)^2) ?
The limit as x approaches 2 of 2/((x+2)^2) is 1/8