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

The limit as x approaches pi/2+of 1/(cos(x)) is -infinity

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

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

- \infty

Solution steps

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

For

x

approaching

\frac{π}{2}

from the right

, x > \frac{π}{2} \Rightarrow cos (x) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

f (t) = t e^{- 3 t} cos (5 t)

\frac{d}{d x} (v) = \frac{1}{2 v}

\int (4 - x) 8^{(4 - x)^{2}} d x

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

y^{^{'}} - x e^{y} = 2 e^{y}

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