limit as n approaches infinity of ((3^n+2)/(3^n-1))^{3^n}

Lösung

n \to \infty lim ((\frac{3 ^{n} + 2}{3 ^{n} - 1})^{3^{n}})

e^{3}

Dezimale

20.08553 \dots

Schritte zur Lösung

n \to \infty lim ((\frac{3 ^{n} + 2}{3 ^{n} - 1})^{3^{n}})

Wende die Kettenregel für Grenzen an:

e^{3}

= e^{3}

x \to 0 + lim \frac{( 1 - 1 0 ^{- x^{2}} )}{x ^{2} ln ( 10 )}

x \to 0 lim (\frac{x}{tan ( 4 x )})

x \to 0 lim (\frac{2 x ^{2}}{3 - 3 cos ( x )})

x \to 0 lim ((x + e^{x})^{\frac{2}{x}})

x \to 4 lim (\frac{x - 4}{x + 1})