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

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

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

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

diverges

Solution steps

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

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

= diverges

\int \frac{20 x}{1 - x ^{4}} d x

\int \frac{1}{4 + 2 x} d x

y = x^{3} + 7 x - 5, (1, 3)

\int \frac{8 x ^{3}}{( x ^{2} + 2 ) ^{2}} d x

\int (\frac{8}{x}) d x

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