sum from n=1 to infinity of n^{-2/3}

Lösung

n = 1 \sum \infty n^{- \frac{2}{3}}

divergiert

Schritte zur Lösung

n = 1 \sum \infty n^{- \frac{2}{3}}

Wende Exponentenregel an:

a^{- b} = \frac{1}{a ^{b}}

= n = 1 \sum \infty \frac{1}{n ^{\frac{2}{3}}}

p-Reihen-Test anwenden:

divergiert

= divergiert

l a pl a ce t r an s f or m 2 (t - 3)^{2} + 9 (t - 3) + 11

d er i v a t i v e y = 3 e^{4 x} + 6 e^{2 x}

\frac{d}{d x} (e^{7 x} + e^{- 7 x})

\frac{d}{d x} (1 + (\frac{3}{2} x^{(\frac{1}{2})})^{2})

t an g e n t f (x) = 20 x - 16 x^{2}, at x = 3