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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

x \to \frac{π}{4} lim (sec (x) tan (x))

2

Decimal

1.41421 \dots

Solution steps

x \to \frac{π}{4} lim (sec (x) tan (x))

Plug in the value

x = \frac{π}{4}

= sec (\frac{π}{4}) tan (\frac{π}{4})

Simplify

sec (\frac{π}{4}) tan (\frac{π}{4}) : 2

= 2

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