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Beliebt Rechnen >

limit as x approaches infinity of (1+5/x)^{x/7}

Lösung

x \to \infty lim ((1 + \frac{5}{x})^{\frac{x}{7}})

Lösung

e^{\frac{5}{7}}

+1

Dezimale

2.04272 \dots

Schritte zur Lösung

x \to \infty lim ((1 + \frac{5}{x})^{\frac{x}{7}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{x}{7} l n (1 + \frac{5}{x})})

Wende die Kettenregel für Grenzen an:

e^{\frac{5}{7}}

= e^{\frac{5}{7}}

Graph

Beliebte Beispiele

integral of (2000)/(5x+10)

\int \frac{2000}{5 x + 10} d x

inverselaplace ((s+2))/((s^2+s+1))

in v erse l a pl a ce \frac{( s + 2 )}{( s ^{2} + s + 1 )}

inverselaplace (-25)/(s^2+6s+25)

in v erse l a pl a ce \frac{- 25}{s ^{2} + 6 s + 25}

tangent f(x)=x^2-8,\at x=4

t an g e n t f (x) = x^{2} - 8, at x = 4

x y^{^{'}} = 3 y - 6 x^{2}