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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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

t \to 0 lim ((\frac{cos ( t )}{cos ( 2 t )})^{\frac{1}{t ^{2}}})

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

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

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

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