limit as x approaches 0+of (x+cos(x))^{4/x}

Lösung

x \to 0 + lim ((x + cos (x))^{\frac{4}{x}})

e^{4}

Dezimale

54.59815 \dots

Schritte zur Lösung

x \to 0 + lim ((x + cos (x))^{\frac{4}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{4}{x} l n (x + c o s (x))})

Wende die Kettenregel für Grenzen an:

e^{4}

= e^{4}

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

x \to - \frac{π}{2} lim (- 5 x - \frac{π}{2})

x \to 3 lim (\frac{( x + 2 )}{x - 3})

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

x \to 0 + lim \frac{( 1 - 1 0 ^{- x^{2}} )}{x ^{2} ln ( 10 )}