What is the limit as x approaches pi/4 of 3cos(x) ?

The limit as x approaches pi/4 of 3cos(x) is 3/(sqrt(2))

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limit as x approaches pi/4 of 3cos(x)

x \to \frac{π}{4} lim (3 cos (x))

\frac{3}{2}

Decimal Notation

2.12132 \dots

Solution steps

x \to \frac{π}{4} lim (3 cos (x))

Plug in the value

x = \frac{π}{4}

= 3 cos (\frac{π}{4})

Simplify

3 cos (\frac{π}{4}) : \frac{3}{2}

= \frac{3}{2}

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What is the limit as x approaches pi/4 of 3cos(x) ?
The limit as x approaches pi/4 of 3cos(x) is 3/(sqrt(2))