What is the limit as x approaches-pi/4 of sec(x) ?

The limit as x approaches-pi/4 of sec(x) is square root of 2

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limit as x approaches-pi/4 of sec(x)

x \to - \frac{π}{4} lim (sec (x))

2

Decimal Notation

1.41421 \dots

Solution steps

x \to - \frac{π}{4} lim (sec (x))

Plug in the value

x = - \frac{π}{4}

= sec (- \frac{π}{4})

Simplify

sec (- \frac{π}{4}) : 2

= 2

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

\int 3 x d x

\int sin^{2} (2 x) cos^{2} (x) d x

x \to 0 lim ((1 - 10 x)^{\frac{1}{x}})

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

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