limit as h approaches 0 of (x^h-1)/h

Lösung

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

ln (x)

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

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

Setze den Wert

h = 0

ein

= \frac{x ^{0} ln ( x )}{1}

Vereinfache

= ln (x)

x \to 3 - lim (\frac{[ x ] - 3}{x - 3})

x \to 2 lim (\frac{g ( x )}{f ( x )})

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

x \to 1 lim (3 x^{2} - 2 x^{2} + 4)

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