What is the limit as x approaches-3 of (x^2-8)/(3-x) ?

The limit as x approaches-3 of (x^2-8)/(3-x) is 1/6

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limit as x approaches-3 of (x^2-8)/(3-x)

x \to - 3 lim (\frac{x ^{2} - 8}{3 - x})

\frac{1}{6}

Decimal Notation

0.16666 \dots

Solution steps

x \to - 3 lim (\frac{x ^{2} - 8}{3 - x})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 8}{3 - ( - 3 )}

Simplify

\frac{( - 3 ) ^{2} - 8}{3 - ( - 3 )} : \frac{1}{6}

= \frac{1}{6}

\frac{d}{d x} (e^{x^{2}} - x)

y^{^{'}} = \frac{( x ^{2} + y ^{2} )}{x y}

\frac{d}{d x} (14 x e^{- x})

x^{2} f (x^{2} + 2 x)

\frac{\partial}{\partial y} (3 x cos (y))

What is the limit as x approaches-3 of (x^2-8)/(3-x) ?
The limit as x approaches-3 of (x^2-8)/(3-x) is 1/6