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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to - 1 + lim (\frac{x + 1}{∣ x + 1 ∣})

x \to - lim (2 \frac{3}{x + 2})

x \to 1 lim (ln (\frac{x}{x + 1}))

x \to 1 + lim (\frac{3 x}{∣ 1 - x ∣})

x \to 2 lim (sec (2 π))

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