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Beliebt Rechnen >

limit as x approaches infinity of x-1/x

Lösung

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

Lösung

\infty

Schritte zur Lösung

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

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

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

= \infty - 0

Wende die Unendlichkeitseigenschaft an:

\infty - c = \infty

= \infty

Graph

Beliebte Beispiele

integral from 1 to infinity of 6/(x^3)

\int_{1}^{\infty} \frac{6}{x ^{3}} d x

(\partial)/(\partial x)(1.2)

\frac{\partial}{\partial x} (1.2)

y^{^{'}} = 1 + x + y + x y

integral from 6 to 8 of (42)/((x-6)^3)

\int_{6}^{8} \frac{42}{( x - 6 ) ^{3}} d x

integral of x^2e^{x^3}

\int x^{2} e^{x^{3}} d x