limit as t approaches pi/4 of (sin(t))/t

Lösung

t \to \frac{π}{4} lim (\frac{sin ( t )}{t})

\frac{2 2}{π}

Dezimale

0.90031 \dots

Schritte zur Lösung

t \to \frac{π}{4} lim (\frac{sin ( t )}{t})

Setze den Wert

t = \frac{π}{4}

ein

= \frac{sin ( \frac{π}{4} )}{\frac{π}{4}}

Vereinfache

\frac{sin ( \frac{π}{4} )}{\frac{π}{4}} : \frac{2 2}{π}

= \frac{2 2}{π}

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