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

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

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limit as x approaches-3 of (x^2-6)/(3-x)

x \to - 3 lim (\frac{x ^{2} - 6}{3 - x})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to - 3 lim (\frac{x ^{2} - 6}{3 - x})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 6}{3 - ( - 3 )}

Simplify

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

= \frac{1}{2}

y^{^{''}} - 6 y^{^{'}} + 36 y = 0

\int \frac{1}{w ^{6}} d w

y = (x + \frac{2}{x}) (7 - 2 x^{3})

\int cos^{4} (x s i) n^{4} x

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

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