limit as x approaches pi/2 of (sin(x)-cos(x))^{tan(x)}

Lösung

x \to \frac{π}{2} lim ((sin (x) - cos (x))^{t a n (x)})

\frac{1}{e}

Dezimale

0.36787 \dots

Schritte zur Lösung

x \to \frac{π}{2} lim ((sin (x) - cos (x))^{t a n (x)})

Wende Exponentenregel an

= x \to \frac{π}{2} lim (e^{t a n (x) l n (s i n (x) - c o s (x))})

Wende die Kettenregel für Grenzen an:

\frac{1}{e}

= \frac{1}{e}

\int 8 x e^{9 x} d x

x \to 0 lim (\frac{( 484 + x ) ^{0.5} - 22}{x})

t an g e n t f (x) = x^{4} - 10 x^{2} + 9, at x = 2

\int 2 x + 1 d x

\frac{d}{d x} (arctan (7 x^{2} - 1))