What is the limit as x approaches-3 of (x^2-9)/(x-3) ?

The limit as x approaches-3 of (x^2-9)/(x-3) is 0

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limit as x approaches-3 of (x^2-9)/(x-3)

x \to - 3 lim (\frac{x ^{2} - 9}{x - 3})

0

Solution steps

x \to - 3 lim (\frac{x ^{2} - 9}{x - 3})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 9}{- 3 - 3}

Simplify

\frac{( - 3 ) ^{2} - 9}{- 3 - 3} : 0

= 0

x \to 0 lim ([\frac{sin ( x )}{x}])

\frac{d y}{d x} = y^{- 2}

y^{^{'''}} - 8 y^{^{''}} - 9 y^{^{'}} = 0

\int \frac{cos ^{2} ( θ )}{2} d θ

\int \frac{1}{( 9 - x ^{2} )} d x

What is the limit as x approaches-3 of (x^2-9)/(x-3) ?
The limit as x approaches-3 of (x^2-9)/(x-3) is 0