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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

\frac{d ^{2}}{d x ^{2}} (\frac{2}{3 t ^{4}})

ln (1 + 2 \cdot t), 2

\frac{d}{d x} (\frac{4 x - 1}{x ^{2}})

\frac{\partial}{\partial x} (- 6 y^{2} + 12 x y)

\frac{\partial}{\partial x} (\frac{( p ( q , x ) - c q )}{x})

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