What is the limit as x approaches pi/2 of (cos(x))/(1-sin(x)) ?

The limit as x approaches pi/2 of (cos(x))/(1-sin(x)) is diverges

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limit as x approaches pi/2 of (cos(x))/(1-sin(x))

x \to \frac{π}{2} lim (\frac{cos ( x )}{1 - sin ( x )})

diverges

Solution steps

x \to \frac{π}{2} lim (\frac{cos ( x )}{1 - sin ( 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{cos ( x )}{1 - sin ( x )}) = - \infty

x \to \frac{π}{2} - lim (\frac{cos ( x )}{1 - sin ( x )}) = \infty

= diverges

x \to \frac{π}{2} lim (\frac{ln ( sin ( x ) )}{( π - 2 x ) ^{2}})

x \to 3 lim ((2 x - 4)^{4} (x - 2))

x \to 4 lim (\frac{x ^{2} + 4}{5})

x \to \frac{π}{2} lim (\frac{3 cos ^{2} ( x )}{2 - 2 sin ( x )})

x \to \frac{π}{3} lim (\frac{1 - 2 cos ( x )}{π - 3 x})

What is the limit as x approaches pi/2 of (cos(x))/(1-sin(x)) ?
The limit as x approaches pi/2 of (cos(x))/(1-sin(x)) is diverges