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Beliebt Rechnen >

limit as x approaches infinity of 3x+1/x

Lösung

x \to \infty lim (3 x + \frac{1}{x})

Lösung

\infty

Schritte zur Lösung

x \to \infty lim (3 x + \frac{1}{x})

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 (\frac{1}{x})

x \to \infty lim (3 x) = \infty

x \to \infty lim (\frac{1}{x}) = 0

= \infty + 0

Wende die Unendlichkeitseigenschaft an:

\infty + c = \infty

= \infty

Graph

Beliebte Beispiele

integral of (2x-1)/(x^3-6x^2+11x-6)

\int \frac{2 x - 1}{x ^{3} - 6 x ^{2} + 11 x - 6} d x

limit as x approaches-infinity of-6/x

x \to - \infty lim (- \frac{6}{x})

y^'+2y=e^{(4t)}

y^{^{'}} + 2 y = e^{(4 t)}

integral of (x^2-x)

\int (x^{2} - x) d x

derivative of-1.8x^2+14.4x

\frac{d}{d x} (- 1.8 x^{2} + 14.4 x)