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} (e^{6 y} cos (- 6 x))

\frac{d y}{d x} = (\frac{1 + 2 y ^{2}}{y sin ( x )})

\frac{d y}{d x} = \frac{x ( y - 2 )}{x ^{2} + 4}, y (1) = 5

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

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

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