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

The limit as x approaches pi/2 of xsec^2(x) is infinity

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limit as x approaches pi/2 of xsec^2(x)

x \to \frac{π}{2} lim (x sec^{2} (x))

\infty

Solution steps

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

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

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

= \frac{π}{2} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

n = 0 \sum \infty \frac{3 ^{n}}{1000}

\frac{d y}{d x} = x^{2} y

\frac{d}{d x} (\frac{4 x - 4 1 + x}{x ^{2} - 1})

y = 6 cos (x) + 3 sin (2 x)

\frac{d}{d x} (\frac{8 x ^{2} + 8 x + 2}{x})

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