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Beliebt Rechnen >

limit as x approaches 0 of (cos(x))^{cot^2(x)}

Lösung

x \to 0 lim ((cos (x))^{c o t^{2} (x)})

Lösung

\frac{1}{e}

+1

Dezimale

0.60653 \dots

Schritte zur Lösung

x \to 0 lim ((cos (x))^{c o t^{2} (x)})

Wende Exponentenregel an

= x \to 0 lim (e^{c o t^{2} (x) l n (c o s (x))})

Wende die Kettenregel für Grenzen an:

\frac{1}{e}

= \frac{1}{e}

Graph

Beliebte Beispiele

maclaurin ln(((1+x))/((1-x)))

ma c l a u r in ln (\frac{( 1 + x )}{( 1 - x )})

derivative of-3e^{2x}

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

derivative 1/(x^9)

d er i v a t i v e \frac{1}{x ^{9}}

integral of x(x^2-3)^4

\int x (x^{2} - 3)^{4} d x

derivative of-x+3

\frac{d}{d x} (- x + 3)