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

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

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

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

\frac{5}{9}

Decimal

0.55555 \dots

Solution steps

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

Plug in the value

x = 2

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

Simplify

\frac{5}{( 2 - 5 ) ^{2}} : \frac{5}{9}

= \frac{5}{9}

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