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

The limit as x approaches 3 of (x^2-9)/(3-x) is -6

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

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

- 6

Solution steps

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

Simplify

\frac{x ^{2} - 9}{3 - x} : - x - 3

= x \to 3 lim (- x - 3)

Plug in the value

x = 3

= - 3 - 3

Simplify

= - 6

y^{^{''}} - 8 y^{^{'}} + 16 y = 0

\int \frac{x ^{2} + 1}{( x - 1 ) ^{3}} d x

\frac{d}{d x} (\frac{sin ( x )}{cos ( x ^{2} )})

\int x^{4} \cdot e^{- 6 x^{5}} d x

\frac{d}{d x} (tan (x^{7}))

What is the limit as x approaches 3 of (x^2-9)/(3-x) ?
The limit as x approaches 3 of (x^2-9)/(3-x) is -6