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

The limit as x approaches pi/2 of x*sec(x) is diverges

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limit as x approaches pi/2 of x*sec(x)

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

diverges

Solution steps

x \to \frac{π}{2} lim (x sec (x))

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

\frac{d}{d x} (- \frac{2 x ( - x ^{2} + 3 )}{( x ^{2} + 1 ) ^{3}})

x \to \frac{π}{2} lim (cot (x))

n = 5 \sum \infty \frac{1}{2 ^{n}}

\frac{d}{d x} (7 x^{2} ln (x))

f (x) = - arctan (x)

What is the limit as x approaches pi/2 of x*sec(x) ?
The limit as x approaches pi/2 of x*sec(x) is diverges