What is the limit as x approaches (7pi)/2+of xsec(x) ?

The limit as x approaches (7pi)/2+of xsec(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 (7pi)/2+of xsec(x)

x \to \frac{7 π}{2} + lim (x sec (x))

\infty

Solution steps

x \to \frac{7 π}{2} + lim (x sec (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{7 π}{2} + lim (x) \cdot x \to \frac{7 π}{2} + lim (sec (x))

x \to \frac{7 π}{2} + lim (x) = \frac{7 π}{2}

x \to \frac{7 π}{2} + lim (sec (x)) = \infty

= \frac{7 π}{2} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

What is the limit as x approaches (7pi)/2+of xsec(x) ?
The limit as x approaches (7pi)/2+of xsec(x) is infinity