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

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

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

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

0

Solution steps

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

Plug in the value

x = - 2

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

Simplify

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

= 0

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