de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

limit as x approaches 0 of ((ln(1+x)))/x

Lösung

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

Lösung

1

Schritte zur Lösung

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

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

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

Vereinfache

ln (1 + x) \frac{1}{x} : \frac{ln ( 1 + x )}{x}

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

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

= \frac{\frac{1}{1 + 0}}{1}

Vereinfache

= 1

Graph

Beliebte Beispiele

integral of (3x-2)^4

\int (3 x - 2)^{4} d x

t a y l or x^{2}, 0

derivative f(x)=((1-4x))/(1+4x)

d er i v a t i v e f (x) = \frac{( 1 - 4 x )}{1 + 4 x}

integral of (ln(2x))/(xln(x))

\int \frac{ln ( 2 x )}{x ln ( x )} d x

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

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