What is the limit as x approaches 2pi of xcsc(x) ?

The limit as x approaches 2pi of xcsc(x) is diverges

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limit as x approaches 2pi of xcsc(x)

x \to 2 π lim (x csc (x))

diverges

Solution steps

x \to 2 π lim (x csc (x))

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

then the limit does not exist

x \to 2 π + lim (x csc (x)) = \infty

x \to 2 π - lim (x csc (x)) = - \infty

= diverges

\frac{e ^{x}}{1 - e ^{x}}

\int - 2 x e^{- x} d x

\int_{1}^{2} (y^{3} + \frac{1}{4 y ^{3}}) d y

\frac{d y}{d x} = 9 y e^{x + 4}

\frac{d}{d x} (e^{- x + 3})

What is the limit as x approaches 2pi of xcsc(x) ?
The limit as x approaches 2pi of xcsc(x) is diverges