limit as x approaches 0 of (1-3x)^{5/x}

Lösung

x \to 0 lim ((1 - 3 x)^{\frac{5}{x}})

\frac{1}{e ^{15}}

Dezimale

3.05902 E - 7

Schritte zur Lösung

x \to 0 lim ((1 - 3 x)^{\frac{5}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{5}{x} l n (1 - 3 x)})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{15}}

= \frac{1}{e ^{15}}

x \to 0 lim (x ln (1 + x))

x \to 0 lim (sin^{2} (x^{2}))

x \to 0 lim (4 x - 3)

x \to - 3 lim (\frac{6 x + 5}{x + 8})

x \to 1 + lim (x^{\frac{8}{x - 1}})