What is the limit as x approaches 0 of 5/(x+x^2) ?

The limit as x approaches 0 of 5/(x+x^2) is diverges

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limit as x approaches 0 of 5/(x+x^2)

x \to 0 lim (\frac{5}{x + x ^{2}})

diverges

Solution steps

x \to 0 lim (\frac{5}{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{5}{x + x ^{2}}) = \infty

x \to 0 - lim (\frac{5}{x + x ^{2}}) = - \infty

= diverges

f (x) = 10 x + 6

\frac{x ^{2} - 2 x}{x + 1}

y = - x

- 3 sin (5 t)

\frac{d x}{d y} = - \frac{1}{7} x

What is the limit as x approaches 0 of 5/(x+x^2) ?
The limit as x approaches 0 of 5/(x+x^2) is diverges