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

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

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limit as x approaches 0 of cot(3x)

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

x \to - 1 lim (3 x + 4)

\frac{d}{d x} (e^{7 x s i n (2 x)})

\int sin (2 x + 1) d x

\frac{d}{d t} (\frac{2}{3} t^{\frac{3}{2}})

d er i v a t i v e f (x) = 6 - x

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