limit as x approaches e+of 1/(xln(x-1))

Lösung

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

\frac{1}{e ln ( e - 1 )}

Dezimale

0.67959 \dots

Schritte zur Lösung

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

Setze den Wert

x = e

ein

= \frac{1}{e ln ( e - 1 )}

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

x \to 1 - lim (ln (x) ln (1 - x))

x \to \frac{π}{2} lim ((1 + cos (x))^{3 s e c (x)})

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

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