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

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

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limit as x approaches pi/4 of 1/2 cos(x)

x \to \frac{π}{4} lim (\frac{1}{2} cos (x))

\frac{1}{2 2}

Decimal

0.35355 \dots

Solution steps

x \to \frac{π}{4} lim (\frac{1}{2} cos (x))

Plug in the value

x = \frac{π}{4}

= \frac{1}{2} cos (\frac{π}{4})

Simplify

\frac{1}{2} cos (\frac{π}{4}) : \frac{1}{2 2}

= \frac{1}{2 2}

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