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Beliebt Rechnen >

limit as x approaches 0+of (cot(x))^{sin(x)}

Lösung

x \to 0 + lim ((cot (x))^{s i n (x)})

Lösung

1

Schritte zur Lösung

x \to 0 + lim ((cot (x))^{s i n (x)})

Vereinfache

= x \to 0 + lim (cot^{s i n (x)} (x))

Wende Exponentenregel an

= x \to 0 + lim (e^{s i n (x) l n (c o t (x))})

Wende die Kettenregel für Grenzen an:

1

= 1

Graph

Beliebte Beispiele

x^2(dy)/(dx)-2xy=3y^4

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}

integral of sqrt(5/x)

\int \frac{5}{x} d x

derivative of e^{(-x^{1/2}+1/5 x^{-3/5}})

\frac{d}{d x} (e^{(- x^{\frac{1}{2}} + \frac{1}{5} x^{- \frac{3}{5}})})

integral of 1/((x^2+100)^2)

\int \frac{1}{( x ^{2} + 100 ) ^{2}} d x

d/(d{y)}(-9sin(3{x}+{y}{z}))

\frac{d}{d y} (- 9 sin (3 x + y z))