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

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

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

x \to π lim ((x + π) csc (x))

diverges

Solution steps

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

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

= diverges

f (x) = \frac{z - 5}{z + 5}

\int \frac{x ^{3} e ^{x^{2}}}{( x ^{2} + 1 ) ^{2}} d x

f (t) = t e^{4 t}

\int_{- \infty}^{0} x e^{5 x} d x

y = 5 x + 11

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