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

Lösung

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

e

Dezimale

1.64872 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

e

= e

x \to 6 - lim (ln (\frac{1}{( 6 - x )}))

x \to 0 lim (\frac{x ^{2}}{x ^{2}})

x \to 1 lim (\frac{ln ( x )}{x + 1})

x \to π lim (\frac{- 2}{π - x})

x \to - 6 lim (- x + 2)