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Beliebt Rechnen >

limit as x approaches 1 of x^{3/(1-x)}

Lösung

x \to 1 lim (x^{\frac{3}{1 - x}})

Lösung

\frac{1}{e ^{3}}

+1

Dezimale

0.04978 \dots

Schritte zur Lösung

x \to 1 lim (x^{\frac{3}{1 - x}})

Wende Exponentenregel an

= x \to 1 lim (e^{\frac{3}{1 - x} l n (x)})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{3}}

= \frac{1}{e ^{3}}

Graph

Beliebte Beispiele

y^{''}-5y^'-6y=0,y(0)=5,y^'(0)=12

y^{^{''}} - 5 y^{^{'}} - 6 y = 0, y (0) = 5, y^{^{'}} (0) = 12

integral of 1/(10x^{1/2)-x}

\int \frac{1}{10 x ^{\frac{1}{2}} - x} d x

integral of 1/((1-x)^2)

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

integral of (3y^2-t^2)/(y^5)

\int \frac{3 y ^{2} - t ^{2}}{y ^{5}} d y

derivative of ln(9x^2)

\frac{d}{d x} (ln (9) x^{2})