What is the limit as x approaches 5 of 5/((x-2)^2) ?

The limit as x approaches 5 of 5/((x-2)^2) is 5/9

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limit as x approaches 5 of 5/((x-2)^2)

x \to 5 lim (\frac{5}{( x - 2 ) ^{2}})

\frac{5}{9}

Decimal

0.55555 \dots

Solution steps

x \to 5 lim (\frac{5}{( x - 2 ) ^{2}})

Plug in the value

x = 5

= \frac{5}{( 5 - 2 ) ^{2}}

Simplify

= \frac{5}{9}

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What is the limit as x approaches 5 of 5/((x-2)^2) ?
The limit as x approaches 5 of 5/((x-2)^2) is 5/9