What is the limit as x approaches 81 of (x^2)/9-9/x ?

The limit as x approaches 81 of (x^2)/9-9/x is 6560/9

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limit as x approaches 81 of (x^2)/9-9/x

x \to 81 lim (\frac{x ^{2}}{9} - \frac{9}{x})

\frac{6560}{9}

Decimal Notation

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Solution steps

x \to 81 lim (\frac{x ^{2}}{9} - \frac{9}{x})

Plug in the value

x = 81

= \frac{8 1 ^{2}}{9} - \frac{9}{81}

Simplify

\frac{8 1 ^{2}}{9} - \frac{9}{81} : \frac{6560}{9}

= \frac{6560}{9}

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What is the limit as x approaches 81 of (x^2)/9-9/x ?
The limit as x approaches 81 of (x^2)/9-9/x is 6560/9