What is the limit as x approaches 0 of (12)/x ?

The limit as x approaches 0 of (12)/x is diverges

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limit as x approaches 0 of (12)/x

x \to 0 lim (\frac{12}{x})

diverges

Solution steps

x \to 0 lim (\frac{12}{x})

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

then the limit does not exist

x \to 0 + lim (\frac{12}{x}) = \infty

x \to 0 - lim (\frac{12}{x}) = - \infty

= diverges

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

x \to 0 lim (\frac{1}{x ^{6}})

x \to \infty lim (\frac{6 e ^{x} + 3 e ^{- x}}{2 e ^{x} + 4 e ^{- x}})

x \to - 4 lim (\frac{1 - 9 x}{x + 4})

x \to 2 lim (\frac{\frac{10}{3 x - 1} - 2}{x ^{2} - 4})

What is the limit as x approaches 0 of (12)/x ?
The limit as x approaches 0 of (12)/x is diverges