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Beliebt Rechnen >

limit as x approaches infinity of 4^x-1

Lösung

x \to \infty lim (4^{x} - 1)

Lösung

\infty

Schritte zur Lösung

x \to \infty lim (4^{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 (4^{x}) - x \to \infty lim (1)

x \to \infty lim (4^{x}) = \infty

x \to \infty lim (1) = 1

= \infty - 1

Wende die Unendlichkeitseigenschaft an:

\infty - c = \infty

= \infty

Graph

Beliebte Beispiele

limit as x approaches 3 of ((x^2-9))/(2x-6)

x \to 3 lim (\frac{( x ^{2} - 9 )}{2 x - 6})

limit as x approaches infinity of (2^x)/(3^{x-1)}

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

integral of sqrt(2-x)

\int 2 - x d x

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\frac{d}{d x} (cos (\frac{π}{2} x))

integral from-pi to 0 of x

\int_{- π}^{0} x d x