limit as x approaches-infinity of 1/9 arctan(x)

Lösung

x \to - \infty lim (\frac{1}{9} arctan (x))

- \frac{π}{18}

Dezimale

- 0.17453 \dots

Schritte zur Lösung

x \to - \infty lim (\frac{1}{9} arctan (x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{9} \cdot x \to - \infty lim (arctan (x))

Wende die allgemeine Grenze an:

x \to - \infty lim (arctan (x)) = - \frac{π}{2}

= \frac{1}{9} (- \frac{π}{2})

Vereinfache

\frac{1}{9} (- \frac{π}{2}) : - \frac{π}{18}

= - \frac{π}{18}

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