What is the limit as y approaches 0 of cot(5y) ?

The limit as y approaches 0 of cot(5y) is diverges

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limit as y approaches 0 of cot(5y)

y \to 0 lim (cot (5 y))

diverges

Solution steps

y \to 0 lim (cot (5 y))

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

then the limit does not exist

y \to 0 + lim (cot (5 y)) = \infty

y \to 0 - lim (cot (5 y)) = - \infty

= diverges

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

x \to 2 lim (\frac{4}{x - 2})

t \to 0 lim (e^{- 2 t})

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

n = 1 \sum \infty ln (\frac{n}{3 n + 1})

What is the limit as y approaches 0 of cot(5y) ?
The limit as y approaches 0 of cot(5y) is diverges