What is the limit as x approaches-3 of (x^2-4)/(3-x) ?

The limit as x approaches-3 of (x^2-4)/(3-x) is 5/6

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limit as x approaches-3 of (x^2-4)/(3-x)

x \to - 3 lim (\frac{x ^{2} - 4}{3 - x})

\frac{5}{6}

Decimal Notation

0.83333 \dots

Solution steps

x \to - 3 lim (\frac{x ^{2} - 4}{3 - x})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 4}{3 - ( - 3 )}

Simplify

\frac{( - 3 ) ^{2} - 4}{3 - ( - 3 )} : \frac{5}{6}

= \frac{5}{6}

\frac{x - 4}{x + 2}

\int \frac{2 x + 1}{( x - 1 ) ( x + 4 ) ^{2}} d x

\int \frac{1}{x - 1 - x} d x

\int \frac{- 2 y}{x} d x

x \to 5 + lim (\frac{- 3}{x ^{2} - 25})

What is the limit as x approaches-3 of (x^2-4)/(3-x) ?
The limit as x approaches-3 of (x^2-4)/(3-x) is 5/6