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

The limit as x approaches pi of xcot(x) is diverges

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limit as x approaches pi of xcot(x)

x \to π lim (x cot (x))

diverges

Solution steps

x \to π lim (x cot (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 cot (x)) = \infty

x \to π - lim (x cot (x)) = - \infty

= diverges

x \to 0 + lim (2 (\frac{1}{x} - cot (x)))

x \to 2 - lim (\frac{x ^{2} - 1}{x - 2})

x \to 3 lim (- 4 x)

t \to 1 lim (t)

x \to 2 lim (\frac{4}{( - 2 + 4 ) ^{2}})

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