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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2}{π}

+1

Dezimale

0.63661 \dots

Schritte zur Lösung

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

Setze den Wert

h = \frac{π}{2}

ein

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

Vereinfache

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

= \frac{2}{π}

Graph

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