What is the limit as x approaches 0 of-1/(3x^3) ?

The limit as x approaches 0 of-1/(3x^3) is diverges

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limit as x approaches 0 of-1/(3x^3)

x \to 0 lim (- \frac{1}{3 x ^{3}})

diverges

Solution steps

x \to 0 lim (- \frac{1}{3 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{1}{3 x ^{3}}) = - \infty

x \to 0 - lim (- \frac{1}{3 x ^{3}}) = \infty

= diverges

\int 3 cos (4 x) d x

y^{^{'}} - \frac{x}{1 + x ^{2}} y = x

y^{^{''}} + 4 y = 6 sin (2 x)

(5 x + 13 y) d x + (13 x + 6 y) d y = 0, y (0) = 2

\frac{d}{d x} (- e^{x} (x + 5))

What is the limit as x approaches 0 of-1/(3x^3) ?
The limit as x approaches 0 of-1/(3x^3) is diverges