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

The limit as x approaches 3 of 1/((x+1)^2) is 1/16

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limit as x approaches 3 of 1/((x+1)^2)

x \to 3 lim (\frac{1}{( x + 1 ) ^{2}})

\frac{1}{16}

Decimal Notation

0.0625

Solution steps

x \to 3 lim (\frac{1}{( x + 1 ) ^{2}})

Plug in the value

x = 3

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

Simplify

= \frac{1}{16}

x \to 3 lim (\frac{1}{x - 1})

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What is the limit as x approaches 3 of 1/((x+1)^2) ?
The limit as x approaches 3 of 1/((x+1)^2) is 1/16