What is the limit as x approaches pi of tan(x/2) ?

The limit as x approaches pi of tan(x/2) is diverges

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limit as x approaches pi of tan(x/2)

x \to π lim (tan (\frac{x}{2}))

diverges

Solution steps

x \to π lim (tan (\frac{x}{2}))

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

then the limit does not exist

x \to π + lim (tan (\frac{x}{2})) = - \infty

x \to π - lim (tan (\frac{x}{2})) = \infty

= diverges

What is the limit as x approaches pi of tan(x/2) ?
The limit as x approaches pi of tan(x/2) is diverges