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

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

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

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

- \frac{3}{2}

Decimal

- 1.5

Solution steps

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

Plug in the value

x = - 2

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

Simplify

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

= - \frac{3}{2}

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