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

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

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

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

diverges

Solution steps

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

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} - 2}{3 - x}) = - \infty

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

= diverges

y = (x^{3} - 4 x)^{10}

\frac{d}{d x} (\frac{5}{2} x)

\frac{3}{sin ( x ) + cos ( x )}

y^{^{'}} = x + y, y (0) = 5

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

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