What is the limit as x approaches 0 of (x^2-2x-1)/x ?

The limit as x approaches 0 of (x^2-2x-1)/x is diverges

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limit as x approaches 0 of (x^2-2x-1)/x

x \to 0 lim (\frac{x ^{2} - 2 x - 1}{x})

diverges

Solution steps

x \to 0 lim (\frac{x ^{2} - 2 x - 1}{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{x ^{2} - 2 x - 1}{x}) = - \infty

x \to 0 - lim (\frac{x ^{2} - 2 x - 1}{x}) = \infty

= diverges

x \to 5 lim (\frac{3 x - 2}{x - 5})

x \to \frac{1}{2} lim (\frac{1}{1 - 2 x})

x \to - 2 lim (- x^{4} + 8 x^{2})

x \to 1 lim (1 + \frac{x - 1}{x ^{2}})

x \to 0 lim (\frac{1 + x}{1 - x})

What is the limit as x approaches 0 of (x^2-2x-1)/x ?
The limit as x approaches 0 of (x^2-2x-1)/x is diverges