What is the limit as x approaches 0 of (x^2)/(x^3) ?

The limit as x approaches 0 of (x^2)/(x^3) is diverges

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limit as x approaches 0 of (x^2)/(x^3)

x \to 0 lim (\frac{x ^{2}}{x ^{3}})

diverges

Solution steps

x \to 0 lim (\frac{x ^{2}}{x ^{3}})

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}}{x ^{3}}) = \infty

x \to 0 - lim (\frac{x ^{2}}{x ^{3}}) = - \infty

= diverges

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

x \to - \infty lim (6 x^{3} - 5 x + 3)

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

x \to 0 lim (\frac{x tan ( 2 x )}{sin ^{2} ( 3 x )})

x \to 3 lim (x^{2} + 7 x + 2)

What is the limit as x approaches 0 of (x^2)/(x^3) ?
The limit as x approaches 0 of (x^2)/(x^3) is diverges