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Beliebt Rechnen >

limit as x approaches-infinity of sqrt(x^2-2x+1)-x

Lösung

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

Lösung

\infty

Schritte zur Lösung

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

x \to - \infty lim (x^{2} - 2 x + 1) = \infty

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

= \infty - (- \infty)

Wende die Unendlichkeitseigenschaft an:

\infty + \infty = \infty

= \infty

Graph

Beliebte Beispiele

integral of (13)/((x^2-1)^2)

\int \frac{13}{( x ^{2} - 1 ) ^{2}} d x

(\partial)/(\partial y)(tan(x^2+y^2))

\frac{\partial}{\partial y} (tan (x^{2} + y^{2}))

geradzahligkeit f(x)=(sqrt(1-sin(x)))/(sqrt(1+sin(x)))

p a r i t y f (x) = \frac{1 - sin ( x )}{1 + sin ( x )}

integral of 1/(sqrt(x+4))

\int \frac{1}{x + 4} d x

derivative f(x)=x-a

d er i v a t i v e f (x) = x - a