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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d y}{d x}, x + 4 y = 1

y^{^{''}} + 7 y^{^{'}} + 12 y = 0, y (0) = 1, y^{^{'}} (0) = 0

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