What is the limit as x approaches pi/4 of 1/(cos(x)) ?

The limit as x approaches pi/4 of 1/(cos(x)) is square root of 2

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limit as x approaches pi/4 of 1/(cos(x))

x \to \frac{π}{4} lim (\frac{1}{cos ( x )})

2

Decimal

1.41421 \dots

Solution steps

x \to \frac{π}{4} lim (\frac{1}{cos ( x )})

Plug in the value

x = \frac{π}{4}

= \frac{1}{cos ( \frac{π}{4} )}

Simplify

\frac{1}{cos ( \frac{π}{4} )} : 2

= 2

f (x) = 3 x^{2} e^{x} + e^{x} (x^{3} + 4)

\int_{0}^{2} (x^{3} - 1)^{2} d x

y^{^{'}} = y - 2 x - 1

x + 2 y x^{2} + 1 y^{^{'}} = 0

\int_{0}^{0.5} f (2 t) d t

What is the limit as x approaches pi/4 of 1/(cos(x)) ?
The limit as x approaches pi/4 of 1/(cos(x)) is square root of 2