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Beliebt Rechnen >

limit as x approaches 1 of (x^m-1)/(x-1)

Lösung

x \to 1 lim (\frac{x ^{m} - 1}{x - 1})

Lösung

m

Schritte zur Lösung

x \to 1 lim (\frac{x ^{m} - 1}{x - 1})

Wende das L'Hopital Theorem an

= x \to 1 lim (\frac{m x ^{m - 1}}{1})

Setze den Wert

x = 1

ein

= \frac{m \cdot 1 ^{m - 1}}{1}

Vereinfache

= m

Graph

Beliebte Beispiele

tangent f(x)=(x^2)/(x-3),\at x=0

t an g e n t f (x) = \frac{x ^{2}}{x - 3}, at x = 0

y d y = x d x

d/(dy)(sqrt(9-y^2))

\frac{d}{d y} (9 - y^{2})

limit as x approaches 2 of 7-2x

x \to 2 lim (7 - 2 x)

integral of x/(x^4+9)

\int \frac{x}{x ^{4} + 9} d x