limit as x approaches infinity of (x+4)^{1/x}

Lösung

x \to \infty lim ((x + 4)^{\frac{1}{x}})

1

Schritte zur Lösung

x \to \infty lim ((x + 4)^{\frac{1}{x}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{1}{x} l n (x + 4)})

Wende die Kettenregel für Grenzen an:

1

= 1

x \to 2 lim (5^{2} + 3)

x \to 1 lim (x^{a} - 1)

x \to 0 + lim (x^{\frac{3}{x ^{4} + l n ( x )}})

x \to 0 lim (x^{4} sin (\frac{1}{3 x}))

x \to - 2 - lim (tan (\frac{π x}{4}))