What is the limit as x approaches-5 of (x^3+125)/(x^2-25) ?

The limit as x approaches-5 of (x^3+125)/(x^2-25) is -15/2

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limit as x approaches-5 of (x^3+125)/(x^2-25)

x \to - 5 lim (\frac{x ^{3} + 125}{x ^{2} - 25})

- \frac{15}{2}

Decimal Notation

- 7.5

Solution steps

x \to - 5 lim (\frac{x ^{3} + 125}{x ^{2} - 25})

Simplify

\frac{x ^{3} + 125}{x ^{2} - 25} : \frac{x ^{2} - 5 x + 25}{x - 5}

= x \to - 5 lim (\frac{x ^{2} - 5 x + 25}{x - 5})

Plug in the value

x = - 5

= \frac{( - 5 ) ^{2} - 5 ( - 5 ) + 25}{- 5 - 5}

Simplify

\frac{( - 5 ) ^{2} - 5 ( - 5 ) + 25}{- 5 - 5} : - \frac{15}{2}

= - \frac{15}{2}

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What is the limit as x approaches-5 of (x^3+125)/(x^2-25) ?
The limit as x approaches-5 of (x^3+125)/(x^2-25) is -15/2