sum from n=1 to infinity of (cos(9))^n

Lösung

n = 1 \sum \infty (cos (9))^{n}

konvergiert

Schritte zur Lösung

n = 1 \sum \infty (cos (9))^{n}

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

= n = 0 \sum \infty (cos (9))^{n} - (cos (9))^{0}

n = 0 \sum \infty (cos (9))^{n} =

konvergiert

= konvergiert - (cos (9))^{0}

= konvergiert

n = 1 \sum \infty \frac{1}{n + 2 ^{n}}

n = 1 \sum \infty n^{4}

n = 1 \sum \infty \frac{1}{1 1 ^{n}}

n = 0 \sum \infty \frac{- 1 ^{n}}{n}

n = 1 \sum \infty \frac{6}{n ^{\frac{4}{3}}}