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

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

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

2

Decimal Notation

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

x \to 0 + lim (ln (sin (x)))

\frac{d}{d x} (- x^{3} + 4)

\frac{\partial}{\partial x} (\frac{y}{2 x} - 1)

\frac{d x}{d t} = x^{2}

\int tan (4 x) d x

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