What is the limit as x approaches 0 of cot^3(x) ?

The limit as x approaches 0 of cot^3(x) is diverges

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limit as x approaches 0 of cot^3(x)

x \to 0 lim (cot^{3} (x))

diverges

Solution steps

x \to 0 lim (cot^{3} (x))

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (cot^{3} (x)) = \infty

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

= diverges

\frac{d}{d x} (\frac{tan ( 20 x )}{x ^{\frac{2}{3}} + 3 x})

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

\frac{\partial}{\partial x} (\frac{x ^{4} + y ^{4}}{x ^{2} + y ^{2}})

\frac{d}{d x} (5 sin^{3} (x))

f (x) = 2 x e^{x}

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