What is the limit as x approaches 0 of 2/((x-5)^6) ?

The limit as x approaches 0 of 2/((x-5)^6) is 2/15625

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limit as x approaches 0 of 2/((x-5)^6)

x \to 0 lim (\frac{2}{( x - 5 ) ^{6}})

\frac{2}{15625}

Solution steps

x \to 0 lim (\frac{2}{( x - 5 ) ^{6}})

Plug in the value

x = 0

= \frac{2}{( 0 - 5 ) ^{6}}

Simplify

\frac{2}{( 0 - 5 ) ^{6}} : \frac{2}{15625}

= \frac{2}{15625}

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What is the limit as x approaches 0 of 2/((x-5)^6) ?
The limit as x approaches 0 of 2/((x-5)^6) is 2/15625