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

Lösung

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

ln (z)

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

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

Vereinfache

= ln (z)

x \to 0 lim (x + 4)

\frac{d}{d x} ((x^{- 2} + x^{- 3}) (x^{5} - 9 x^{2}))

\frac{d}{d x} (arctan (1 - 3 x^{2}))

\int 3 sin^{3} (3 x) cos^{3} (3 x) d x

ma c l a u r in sin (5 x) \cdot sin (4 x)