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Beliebt Rechnen >

limit as x approaches infinity of ln(7x+1)-ln(4x+1)

Lösung

x \to \infty lim (ln (7 x + 1) - ln (4 x + 1))

Lösung

ln (\frac{7}{4})

+1

Dezimale

0.55961 \dots

Schritte zur Lösung

x \to \infty lim (ln (7 x + 1) - ln (4 x + 1))

Wende die log Regel an:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (7 x + 1) - ln (4 x + 1) = ln (\frac{7 x + 1}{4 x + 1})

= x \to \infty lim (ln (\frac{7 x + 1}{4 x + 1}))

Wende die Kettenregel für Grenzen an:

ln (\frac{7}{4})

= ln (\frac{7}{4})

Graph

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