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

The limit as x approaches 0 of ((3-x)^2-9)/x is -6

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

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

- 6

Solution steps

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

Simplify

\frac{( 3 - x ) ^{2} - 9}{x} : x - 6

= x \to 0 lim (x - 6)

Plug in the value

x = 0

= 0 - 6

Simplify

= - 6

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x \to 0 lim (1 - sin (x))

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

x \to 2 lim (\frac{x ^{3}}{x ^{2} - 4})

What is the limit as x approaches 0 of ((3-x)^2-9)/x ?
The limit as x approaches 0 of ((3-x)^2-9)/x is -6