limit as x approaches infinity of 3^x-1

Lösung

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

\infty

Schritte zur Lösung

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

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

x \to \infty lim (3^{x}) = \infty

x \to \infty lim (1) = 1

= \infty - 1

Wende die Unendlichkeitseigenschaft an:

\infty - c = \infty

= \infty

\frac{d}{d x} ((- x^{2} + 6 x - 4)^{5})

\frac{d}{d x} (\frac{4 - 3 x - x ^{2}}{x ^{2} - 6})

n = 0 \sum \infty \frac{1}{( n + 1 ) !}

f (x) = 2 x cos (x)

t an g e n t f (x) = 5 x^{2} - 6 x + 1, at x = 2