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

The limit as x approaches-5 of (x^2+6)/(x+2) is -31/3

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

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

- \frac{31}{3}

Decimal

- 10.33333 \dots

Solution steps

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

Plug in the value

x = - 5

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

Simplify

\frac{( - 5 ) ^{2} + 6}{- 5 + 2} : - \frac{31}{3}

= - \frac{31}{3}

What is the limit as x approaches-5 of (x^2+6)/(x+2) ?
The limit as x approaches-5 of (x^2+6)/(x+2) is -31/3