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

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

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limit as x approaches 0 of x^2+x-1/x-1

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 0 lim (\frac{- 4}{x ^{2}})

x \to 0 + lim (\frac{1}{x} - \frac{1}{x ^{3} - x})

x \to 2 lim (4 x^{2} - 2 x + 1)

x \to 1 lim (\frac{3 x}{1 - x})

x \to \infty lim (2 x + 7)

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