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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

- \infty

Solution steps

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

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

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

= \frac{π ^{2}}{4} (- \infty)

Apply Infinity Property:

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

= - \infty

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