limit as n approaches 10 of [1+(1/n)]^n

Lösung

n \to 10 lim ([1 + (\frac{1}{n})]^{n})

\frac{1 1 ^{10}}{1 0 ^{10}}

Dezimale

2.59374 \dots

Schritte zur Lösung

n \to 10 lim ([1 + \frac{1}{n}]^{n})

Setze den Wert

n = 10

ein

= [1 + \frac{1}{10}]^{10}

Vereinfache

(1 + \frac{1}{10})^{10} : \frac{1 1 ^{10}}{1 0 ^{10}}

= \frac{1 1 ^{10}}{1 0 ^{10}}

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

x \to 0 lim (\frac{5 ^{x} - 4 ^{x}}{x})

d er i v a t i v e \frac{2 x + 3}{3 x + 2}

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

x \to 0 + lim (ln (x^{3}))