limit as x approaches infinity of ((13x)/(13x+3))^{5x}

Lösung

x \to \infty lim ((\frac{13 x}{13 x + 3})^{5 x})

\frac{1}{e ^{\frac{15}{13}}}

Dezimale

0.31542 \dots

Schritte zur Lösung

x \to \infty lim ((\frac{13 x}{13 x + 3})^{5 x})

Wende Exponentenregel an

= x \to \infty lim (e^{5 x l n (\frac{13 x}{13 x + 3})})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{\frac{15}{13}}}

= \frac{1}{e ^{\frac{15}{13}}}

\int \frac{2 x - 4}{( x ^{2} - 4 x + 7 ) ^{2}} d x

l a pl a ce t r an s f or m (- 2)^{t - 1}

\int \frac{3 x ( e ^{- 2 x} - 7 x )}{5} d x

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

\int (arcsin (x))^{2} d x