limit as n approaches infinity of \sum_{i=1}^n(1+(2i)/n)^3(2/n)

Lösung

n \to \infty lim (i = 1 \sum n (1 + \frac{2 i}{n})^{3} (\frac{2}{n}))

20

Schritte zur Lösung

n \to \infty lim (i = 1 \sum n (1 + \frac{2 i}{n})^{3} (\frac{2}{n}))

Wenden Sie die Formel für den Grenzwert der Summe an:

\int_{0}^{2} (1 + x)^{3} d x

Löse

\int_{0}^{2} (1 + x)^{3} d x : 20

= 20

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

\frac{d}{d x} (e^{(1 - x^{2} - \frac{y ^{2}}{4})})

d er i v a t i v e e^{3 e^{x}}

t an g e n t f (x) = 2 x^{2}, at x = - 1

\frac{d}{d x} (\frac{- 10}{3 x})