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

Lösung

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

- ln (2)

Dezimale

- 0.69314 \dots

Schritte zur Lösung

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

Setze den Wert

x = 1

ein

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

Vereinfache

ln (\frac{1}{1 + 1}) : - ln (2)

= - ln (2)

x \to 1 + lim (\frac{3 x}{∣ 1 - x ∣})

x \to 2 lim (sec (2 π))

x \to 1 lim (x sin (\frac{1}{x - 1}))

n \to \infty lim (i^{n})

x \to x lim (ln (x))