What is the limit as θ approaches 0 of cot(piθ) ?

The limit as θ approaches 0 of cot(piθ) is diverges

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limit as θ approaches 0 of cot(piθ)

θ \to 0 lim (cot (π θ))

diverges

Solution steps

θ \to 0 lim (cot (π θ))

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

then the limit does not exist

θ \to 0 + lim (cot (π θ)) = \infty

θ \to 0 - lim (cot (π θ)) = - \infty

= diverges

What is the limit as θ approaches 0 of cot(piθ) ?
The limit as θ approaches 0 of cot(piθ) is diverges