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Beliebt Rechnen >

limit as x approaches 1 of x^{5/(x^2-1)}

Lösung

x \to 1 lim (x^{\frac{5}{x ^{2} - 1}})

Lösung

e^{\frac{5}{2}}

+1

Dezimale

12.18249 \dots

Schritte zur Lösung

x \to 1 lim (x^{\frac{5}{x ^{2} - 1}})

Wende Exponentenregel an

= x \to 1 lim (e^{\frac{5}{x ^{2} - 1} l n (x)})

Wende die Kettenregel für Grenzen an:

e^{\frac{5}{2}}

= e^{\frac{5}{2}}

Graph

Beliebte Beispiele

f(x)=xarcsin(x)

f (x) = x arcsin (x)

derivative of (6x+5/(sqrt(7-3x^2)))

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\int_{0}^{2 π} (1 + sin (u)) d u

y^{^{''}} = 5 y

integral from a to b of 1

\int_{a}^{b} 1 d x