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

The limit as x approaches pi/2+of xtan(x) is -infinity

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

x \to \frac{π}{2} + lim (x tan (x))

- \infty

Solution steps

x \to \frac{π}{2} + lim (x tan (x))

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

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

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

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

= \frac{π}{2} (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

X \to 0 + lim (X^{X})

x \to - 6 lim (e^{\frac{x}{6}})

t \to 3 lim (4 t + 3)

x \to 4 lim (\frac{1}{∣ x - 4 ∣})

x \to - 6 lim (h (x))

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