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Beliebt Rechnen >

limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))}

Lösung

x \to 0 + lim \frac{1}{4 x ^{\frac{6}{7}}} - \frac{7}{( x - 6 ^{\frac{6}{7}} )}

Lösung

\infty

Schritte zur Lösung

x \to 0 + lim (\frac{1}{4 x ^{\frac{6}{7}}} - \frac{7}{x - 6 ^{\frac{6}{7}}})

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{1}{4 x ^{\frac{6}{7}}}) - x \to 0 + lim (\frac{7}{x - 6 ^{\frac{6}{7}}})

x \to 0 + lim (\frac{1}{4 x ^{\frac{6}{7}}}) = \infty

x \to 0 + lim (\frac{7}{x - 6 ^{\frac{6}{7}}}) = - \frac{7}{6 ^{\frac{6}{7}}}

= \infty - (- \frac{7}{6 ^{\frac{6}{7}}})

Wende die Unendlichkeitseigenschaft an:

\infty - c = \infty

= \infty

Graph

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