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Beliebt Rechnen >

limit as n approaches infinity of (1+sin(1/n))^{sqrt(n)}

Lösung

n \to \infty lim ((1 + sin (\frac{1}{n}))^{n})

Lösung

1

Schritte zur Lösung

n \to \infty lim ((1 + sin (\frac{1}{n}))^{n})

Wende Exponentenregel an

= n \to \infty lim (e^{n l n (1 + s i n (\frac{1}{n}))})

Wende die Kettenregel für Grenzen an:

1

= 1

Graph

Beliebte Beispiele

derivative f(x)=x^2-8x-91

d er i v a t i v e f (x) = x^{2} - 8 x - 91

tangent f(x)= 1/(x+1),\at x=0

t an g e n t f (x) = \frac{1}{x + 1}, at x = 0

integral of 2cos(x)sin^2(x)

\int 2 cos (x) sin^{2} (x) d x

derivative sqrt(x+1)

d er i v a t i v e x + 1

inverselaplace (4s+7)/(s^2-4)

in v erse l a pl a ce \frac{4 s + 7}{s ^{2} - 4}