limit as t approaches 0 of ((cos(t))/(cos(2t)))^{1/(t^2)}

Lösung

t \to 0 lim ((\frac{cos ( t )}{cos ( 2 t )})^{\frac{1}{t ^{2}}})

e^{\frac{3}{2}}

Dezimale

4.48168 \dots

Schritte zur Lösung

t \to 0 lim ((\frac{cos ( t )}{cos ( 2 t )})^{\frac{1}{t ^{2}}})

Wende Exponentenregel an

= t \to 0 lim (e^{\frac{1}{t ^{2}} l n (\frac{c o s ( t )}{c o s ( 2 t )})})

Wende die Kettenregel für Grenzen an:

e^{\frac{3}{2}}

= e^{\frac{3}{2}}

x \to 1 lim (x^{3} - 2 x)

x \to 0 lim (2 x^{2} - x + 4)

x \to 2 lim (a x^{2} + 2 x - 4)

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

x \to 0 + lim (2 x ln (sin (x)))