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

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

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

x \to 0 lim (\frac{x ^{2} - 9}{x - 3})

3

Solution steps

x \to 0 lim (\frac{x ^{2} - 9}{x - 3})

Plug in the value

x = 0

= \frac{0 ^{2} - 9}{0 - 3}

Simplify

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

= 3

x \to 0 lim (\frac{( 3 + x ) ^{2} - 9}{x})

4 x^{2} y^{^{''}} + 17 y = 0

f (, at)

y^{^{'}} + x y = - 5 x y^{4}

\int (x^{3} + 2 x) sin (x) d x

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