limit as x approaches infinity of ((2x+1)/(x+3))^{(3x+2)/(x-5)}

Lösung

x \to \infty lim ((\frac{2 x + 1}{x + 3})^{\frac{3 x + 2}{x - 5}})

8

Schritte zur Lösung

x \to \infty lim ((\frac{2 x + 1}{x + 3})^{\frac{3 x + 2}{x - 5}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{3 x + 2}{x - 5} l n (\frac{2 x + 1}{x + 3})})

Wende die Kettenregel für Grenzen an:

8

= 8

x \to 0 lim (\frac{sin ( x )}{arcsin ( x )})

x \to - 1 lim (x^{2} - 5 x)

x \to 1 + lim (lo g_{x} (\frac{1}{3}))

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

x \to 0 lim (cos (x) - cot (x))