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

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

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

x \to \frac{π}{2} lim (x tan (x))

diverges

Solution steps

x \to \frac{π}{2} lim (x tan (x))

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

then the limit does not exist

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

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

= diverges

x \to 0 lim (3 \frac{x}{sin ( x )})

x \to 0 + lim (x^{\frac{10}{x}})

x \to 0 - lim (6 (cot (x) - \frac{1}{x}))

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

x \to - 3 lim (\frac{1}{x ^{2}})

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