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

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

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

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

diverges

Solution steps

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

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

= diverges

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

x \to 72 lim (ln (x))

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

x \to \infty - lim (x^{2} e^{x})

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

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