What is the limit as x approaches-2+of (x+1)/(x^2+2) ?

The limit as x approaches-2+of (x+1)/(x^2+2) is -1/6

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limit as x approaches-2+of (x+1)/(x^2+2)

x \to - 2 + lim (\frac{x + 1}{x ^{2} + 2})

- \frac{1}{6}

Decimal

- 0.16666 \dots

Solution steps

x \to - 2 + lim (\frac{x + 1}{x ^{2} + 2})

Plug in the value

x = - 2

= \frac{- 2 + 1}{( - 2 ) ^{2} + 2}

Simplify

\frac{- 2 + 1}{( - 2 ) ^{2} + 2} : - \frac{1}{6}

= - \frac{1}{6}

What is the limit as x approaches-2+of (x+1)/(x^2+2) ?
The limit as x approaches-2+of (x+1)/(x^2+2) is -1/6