limit as x approaches 0+of ((36-4x^2))/x

Lösung

x \to 0 + lim (\frac{( 36 - 4 x ^{2} )}{x})

\infty

Schritte zur Lösung

x \to 0 + lim (\frac{36 - 4 x ^{2}}{x})

Multipliziere aus

\frac{36 - 4 x ^{2}}{x} : \frac{36}{x} - 4 x

= x \to 0 + lim (\frac{36}{x} - 4 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 0 + lim (\frac{36}{x}) - x \to 0 + lim (4 x)

x \to 0 + lim (\frac{36}{x}) = \infty

x \to 0 + lim (4 x) = 0

= \infty - 0

Wende die Unendlichkeitseigenschaft an:

\infty - c = \infty

= \infty

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