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

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

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

x \to π lim (π - x (csc (x)))

diverges

Solution steps

x \to π lim (π - x csc (x))

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

then the limit does not exist

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

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

= diverges

\int \frac{2 sin ( x ) cos ( x )}{1 + sin ^{2} ( x )} d x

\int (x^{2} + x + 1)^{2} d x

y^{^{''}} - y^{^{'}} - 56 y = 0

\frac{3 x - 1}{e ^{x}}

\frac{\partial}{\partial x} (1 - \frac{y}{x})

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