What is the limit as x approaches 0 of cot(4x) ?

The limit as x approaches 0 of cot(4x) is diverges

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limit as x approaches 0 of cot(4x)

x \to 0 lim (cot (4 x))

diverges

Solution steps

x \to 0 lim (cot (4 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 (4 x)) = \infty

x \to 0 - lim (cot (4 x)) = - \infty

= diverges

\frac{d}{d x} (\frac{2 x ^{2} - 1}{x ^{3} - x})

\frac{1}{2 r} + \frac{1}{9 r ^{(\frac{8}{9})}}

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

y^{^{''}} - 2 y^{^{'}} + y = t^{3} e^{t}

\frac{d}{d x} (4 x^{2} cos (3 x))

What is the limit as x approaches 0 of cot(4x) ?
The limit as x approaches 0 of cot(4x) is diverges