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Beliebt Rechnen >

sum from n=1 to infinity of n^{-1/5}

Lösung

n = 1 \sum \infty n^{- \frac{1}{5}}

Lösung

divergiert

Schritte zur Lösung

n = 1 \sum \infty n^{- \frac{1}{5}}

Wende Exponentenregel an:

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

= n = 1 \sum \infty \frac{1}{n ^{\frac{1}{5}}}

p-Reihen-Test anwenden:

divergiert

= divergiert

Beliebte Beispiele

limit as x approaches 2-of (5x)/(x-6)

x \to 2 - lim (\frac{5 x}{x - 6})

derivative f(x)=(x^3+2)e^x

d er i v a t i v e f (x) = (x^{3} + 2) e^{x}

limit as x approaches-2 of x^2-4x+6

x \to - 2 lim (x^{2} - 4 x + 6)

derivative ln(2x-5)

d er i v a t i v e ln (2 x - 5)

inverselaplace arctan(s)

in v erse l a pl a ce arctan (s)