What is the limit as x approaches-8 of (x^2-4)/(8-x) ?

The limit as x approaches-8 of (x^2-4)/(8-x) is 15/4

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limit as x approaches-8 of (x^2-4)/(8-x)

x \to - 8 lim (\frac{x ^{2} - 4}{8 - x})

\frac{15}{4}

Decimal

3.75

Solution steps

x \to - 8 lim (\frac{x ^{2} - 4}{8 - x})

Plug in the value

x = - 8

= \frac{( - 8 ) ^{2} - 4}{8 - ( - 8 )}

Simplify

\frac{( - 8 ) ^{2} - 4}{8 - ( - 8 )} : \frac{15}{4}

= \frac{15}{4}

What is the limit as x approaches-8 of (x^2-4)/(8-x) ?
The limit as x approaches-8 of (x^2-4)/(8-x) is 15/4