What is the limit as x approaches 6 of (x^2-4)/(x-6) ?

The limit as x approaches 6 of (x^2-4)/(x-6) is diverges

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limit as x approaches 6 of (x^2-4)/(x-6)

x \to 6 lim (\frac{x ^{2} - 4}{x - 6})

diverges

Solution steps

x \to 6 lim (\frac{x ^{2} - 4}{x - 6})

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

then the limit does not exist

x \to 6 + lim (\frac{x ^{2} - 4}{x - 6}) = \infty

x \to 6 - lim (\frac{x ^{2} - 4}{x - 6}) = - \infty

= diverges

h \to 0 lim (\frac{( h - 2 ) ^{3} + 8}{h})

x \to 0 lim (∣ x ∣ + 1)

x \to 0 lim (x^{2} e^{- 2 x})

x \to 3 lim (2 x^{2} + 5 x + 3)

x \to 3 - lim (x - 5)

What is the limit as x approaches 6 of (x^2-4)/(x-6) ?
The limit as x approaches 6 of (x^2-4)/(x-6) is diverges