limit as x approaches pi/2 of (sin(x))/x

Lösung

x \to \frac{π}{2} lim (\frac{sin ( x )}{x})

\frac{2}{π}

Dezimale

0.63661 \dots

Schritte zur Lösung

x \to \frac{π}{2} lim (\frac{sin ( x )}{x})

Setze den Wert

x = \frac{π}{2}

ein

= \frac{sin ( \frac{π}{2} )}{\frac{π}{2}}

Vereinfache

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

= \frac{2}{π}

a re a x = \frac{y ^{2}}{4}, x = \frac{y}{2} + 2

n = 0 \sum \infty n sin (nπ)

\int \frac{x}{x ( x + 4 )} d x

\frac{\partial}{\partial x} (e^{x} \cdot y)

d er i v a t i v e f (x) = x + \frac{7}{x}