limit as x approaches 1 of (ln(1+x))/x

Lösung

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

ln (2)

Dezimale

0.69314 \dots

Schritte zur Lösung

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

Setze den Wert

x = 1

ein

= \frac{ln ( 1 + 1 )}{1}

Vereinfache

= ln (2)

x \to 0 lim (x^{3} - 4 x^{2} + 3 x + 7)

x \to - 2 lim (4 x^{2} - 7 x - 30)

x \to 5 lim (x + 4)

x \to 2 lim (7 - x)

x \to 0 lim (\frac{1}{x} - 2)