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

The limit as x approaches-2 of (x+3)/(x^2-2) is 1/2

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

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Plug in the value

x = - 2

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

Simplify

\frac{- 2 + 3}{( - 2 ) ^{2} - 2} : \frac{1}{2}

= \frac{1}{2}

\int - 7 e^{x} d x

x \to 2 lim (0)

\int (tan (x) - \frac{sin ( x )}{cos ( x )}) d x

2 arcsin (x)

x \to 9 lim (f (x))

What is the limit as x approaches-2 of (x+3)/(x^2-2) ?
The limit as x approaches-2 of (x+3)/(x^2-2) is 1/2