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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{e ^{- 4 s}}{( s - 3 ) ^{2}}

x^{2} - 6

f (x) = x - 9

\int \frac{1}{- x ^{2} - 6 x + 40} d x

x \to 0 lim (cot^{2} (x))

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