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Beliebt Rechnen >

sum from k=1 to infinity of (sin(100))^k

Lösung

k = 1 \sum \infty (sin (100))^{k}

Lösung

\frac{1}{1 - sin ( 100 )} - 1

+1

Dezimale

- 0.33615 \dots

Schritte zur Lösung

k = 1 \sum \infty (sin (100))^{k}

n = k \sum \infty (a_{n}) = n = 0 \sum \infty (a_{n}) - k - a_{1} - \dots a_{k - 1}

= k = 0 \sum \infty (sin (100))^{k} - (sin (100))^{0}

k = 0 \sum \infty (sin (100))^{k} = \frac{1}{1 - sin ( 100 )}

= \frac{1}{1 - sin ( 100 )} - (sin (100))^{0}

Vereinfache

= \frac{1}{1 - sin ( 100 )} - 1

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x \to 0 lim (\frac{e ^{x} - 1}{19 x})

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(dy)/(dx)=7xe^y,y(0)=0

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