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

Lösung

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

\frac{1}{e}

Dezimale

0.36787 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

\frac{1}{e}

= \frac{1}{e}

x \to 1 lim (\frac{ln ( x )}{e ^{x}})

x \to \infty lim (3 x^{2} + x)

x \to 2 lim (\frac{x ^{3} - 2 x ^{2} - 6 x + 12}{x ^{2} + 3 x - 10})

x \to \infty lim (4 e^{- x} + 6 x - 3)

x \to 0 lim ((1 + 6 x)^{\frac{1}{x}})