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 left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 2 + lim (3 x - 1)

n \to \infty lim (\frac{3 ^{2 n}}{n !})

x \to 0 lim (+ (sin^{x} (x)))

x \to 0 + lim ((1 + \frac{2}{x})^{5 x})

x \to - 3 + lim (x^{2} - 9)

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