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Beliebt Rechnen >

limit as x approaches 2-of (4x+1)/(x-2)

Lösung

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

Lösung

- \infty

Schritte zur Lösung

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

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

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

x \to 2 - lim (4 x + 1) = 9

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

= 9 (- \infty)

Wende die Unendlichkeitseigenschaft an:

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

= - \infty

Graph

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

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

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

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