limit as x approaches 0 of cos^{3/(x^2)}(2x)

Lösung

x \to 0 lim (cos^{\frac{3}{x ^{2}}} (2 x))

\frac{1}{e ^{6}}

Dezimale

0.00247 \dots

Schritte zur Lösung

x \to 0 lim (cos^{\frac{3}{x ^{2}}} (2 x))

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{3}{x ^{2}} l n (c o s (2 x))})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{6}}

= \frac{1}{e ^{6}}

\frac{d y}{d x} = y^{2}

d er i v a t i v e f (x) = \frac{6}{3 x + 1}, at a = - 1

\int \frac{x}{1 + x} d x

\int cos (x) sin (x) d x

d er i v a t i v e - \frac{1}{( x + 2 ) ^{2}}