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

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

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

x \to + \frac{π}{2} lim (sec^{2} (x))

\infty

Solution steps

x \to \frac{π}{2} lim (sec^{2} (x))

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

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

Apply the common limit:

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

= (- \infty)^{2}

Apply Infinity Property:

(- \infty)^{n} = \infty, n

is even

= \infty

3 x^{2} + \frac{16 x}{3} - 2

f (x) = \frac{x}{x ^{2} + 3}

\frac{( z - 2 )}{z - 1}

y = 5 - 2 t

\int_{0}^{1} (x - 1)^{3} - (x - 1) d x

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