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

x \to 10 lim ((x - 10)^{10})

x \to 2 lim (x^{2} - 5 x + 4)

x \to 0 lim (x^{n} e^{- x})

h \to 0 lim (\frac{1}{1 + h ^{2}})

x \to \infty lim (100)

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