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

The limit as x approaches 2pi-of (x)csc(x) is -infinity

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limit as x approaches 2pi-of (x)csc(x)

x \to 2 π - lim ((x) csc (x))

- \infty

Solution steps

x \to 2 π - lim (x csc (x))

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

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

x \to 2 π - lim (x) = 2 π

x \to 2 π - lim (csc (x)) = - \infty

= 2 π (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

{\frac{( s + 1 ) ^{3}}{s ^{4}}}

h \to 0 lim (x + h)

\frac{\partial}{\partial x} (e^{3 x} \cdot tan (y))

\frac{\partial}{\partial x} (4 x y^{8} + x^{3} y^{2})

\frac{\partial}{\partial x} (5 x y - 2 x^{2} y)

What is the limit as x approaches 2pi-of (x)csc(x) ?
The limit as x approaches 2pi-of (x)csc(x) is -infinity