limit as x approaches infinity of x^{8/(ln(x))}

Lösung

x \to \infty lim (x^{\frac{8}{l n ( x )}})

e^{8}

Dezimale

2980.95798 \dots

Schritte zur Lösung

x \to \infty lim (x^{\frac{8}{l n ( x )}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{8}{l n ( x )} l n (x)})

Multipliziere

\frac{8}{ln ( x )} ln (x) : 8

= x \to \infty lim (e^{8})

x \to a lim c = c

= e^{8}

x \to e lim (\frac{1}{x ln ( x - 1 )})

x \to - 3 - lim (\frac{x + 1}{∣ x ∣})

x \to \infty lim (arccos (1 - 3^{- x}))

x \to π lim (cos (\frac{x}{2}))

x \to 0 lim (\frac{x ^{2} - 2 x - 1}{x})