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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{2}

+1

Dezimale

7.38905 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

e^{2}

= e^{2}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(((x-3)(x^2+3x+9))/(x^3))

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 3 ) ( x ^{2} + 3 x + 9 )}{x ^{3}})

integral of ((2x^2+x+4))/(x^3+4x^2)

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

derivative of x^3+6

\frac{d}{d x} (x^{3} + 6)

y^{'} (x)

13xy^'-2y=-(x^2)/(y^{12)}

13 x y^{^{'}} - 2 y = - \frac{x ^{2}}{y ^{12}}