What is the limit as h approaches pi/2 of ((1-cos(3h)))/h ?

The limit as h approaches pi/2 of ((1-cos(3h)))/h is 2/pi

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limit as h approaches pi/2 of ((1-cos(3h)))/h

h \to \frac{π}{2} lim (\frac{( 1 - cos ( 3 h ) )}{h})

\frac{2}{π}

Decimal Notation

0.63661 \dots

Solution steps

h \to \frac{π}{2} lim (\frac{1 - cos ( 3 h )}{h})

Plug in the value

h = \frac{π}{2}

= \frac{1 - cos ( 3 \cdot \frac{π}{2} )}{\frac{π}{2}}

Simplify

\frac{1 - cos ( 3 \cdot \frac{π}{2} )}{\frac{π}{2}} : \frac{2}{π}

= \frac{2}{π}

\int x csc (x^{2}) d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 e^{3 t}, y (0) = 0, y^{^{'}} (0) = 4

\frac{d}{d x} (x - ln (e^{x} cos (x)))

\frac{d}{d x} (\frac{1}{2} x)

What is the limit as h approaches pi/2 of ((1-cos(3h)))/h ?
The limit as h approaches pi/2 of ((1-cos(3h)))/h is 2/pi