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Beliebt Rechnen >

limit as x approaches 4-of x/(sqrt(x)-2)

Lösung

x \to 4 - lim (\frac{x}{x - 2})

Lösung

- \infty

Schritte zur Lösung

x \to 4 - lim (\frac{x}{x - 2})

\frac{x}{x - 2} = x \frac{1}{x - 2}

= x \to 4 - lim (x \frac{1}{x - 2})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 4 - lim (x) \cdot x \to 4 - lim (\frac{1}{x - 2})

x \to 4 - lim (x) = 4

x \to 4 - lim (\frac{1}{x - 2}) = - \infty

= 4 (- \infty)

Wende die Unendlichkeitseigenschaft an:

c \cdot (- \infty) = - \infty

= - \infty

Graph

Beliebte Beispiele

implicit x^2+8y^2=8

im pl i c i t x^{2} + 8 y^{2} = 8

integral from 0 to 3 of 1/((x+2)^4)

\int_{0}^{3} \frac{1}{( x + 2 ) ^{4}} d x

(\partial)/(\partial x)(sin(x)y^2)

\frac{\partial}{\partial x} (sin (x) y^{2})

derivative of 3x^2y^3

\frac{d}{d x} (3 x^{2} y^{3})

derivative of x^2(2x-1^4)

\frac{d}{d x} (x^{2} (2 x - 1)^{4})