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

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

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