What is the limit as x approaches 0 of 1/(x+x^5) ?

The limit as x approaches 0 of 1/(x+x^5) is diverges

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limit as x approaches 0 of 1/(x+x^5)

x \to 0 lim (\frac{1}{x + x ^{5}})

diverges

Solution steps

x \to 0 lim (\frac{1}{x + x ^{5}})

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 ^{5}}) = \infty

x \to 0 - lim (\frac{1}{x + x ^{5}}) = - \infty

= diverges

2 x^{2} - x^{3}, y = 0

\int - \frac{3}{2} x^{2} d x

\int (tan (\frac{x}{18}))^{5} d x

\frac{d}{d x} (\frac{4 x}{( 1 - x ^{2} ) ^{2}})

f (x) = x^{2} + 3 x + 2, at x = 1

What is the limit as x approaches 0 of 1/(x+x^5) ?
The limit as x approaches 0 of 1/(x+x^5) is diverges