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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 0 to pi/4 of sec(x)

\int_{0}^{\frac{π}{4}} sec (x) d x

integral of 24x^5

\int 24 x^{5} d x

integral of 2sqrt(x)ln(x)

\int 2 x ln (x) d x

tangent f(x)=x+2/x ,(2,3)

t an g e n t f (x) = x + \frac{2}{x}, (2, 3)

derivative 1/((1+x^2)^2)

d er i v a t i v e \frac{1}{( 1 + x ^{2} ) ^{2}}