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Beliebt Rechnen >

limit as v approaches 3 of (sqrt(v+1)-2)/(v-3)

Lösung

v \to 3 lim (\frac{v + 1 - 2}{v - 3})

Lösung

\frac{1}{4}

+1

Dezimale

0.25

Schritte zur Lösung

v \to 3 lim (\frac{v + 1 - 2}{v - 3})

Rationalisiere den Zähler

\frac{v + 1 - 2}{v - 3} : \frac{1}{v + 1 + 2}

= v \to 3 lim (\frac{1}{v + 1 + 2})

Setze den Wert

v = 3

ein

= \frac{1}{3 + 1 + 2}

Vereinfache

\frac{1}{3 + 1 + 2} : \frac{1}{4}

= \frac{1}{4}

Graph

Beliebte Beispiele

limit as x approaches 3 of (x-2)/(x^2-9)

x \to 3 lim (\frac{x - 2}{x ^{2} - 9})

integral of 1/(x^2+4x+5)

\int \frac{1}{x ^{2} + 4 x + 5} d x

tangent f(x)= 9/(x-3),\at x=2

t an g e n t f (x) = \frac{9}{x - 3}, at x = 2

derivative y=e^5

d er i v a t i v e y = e^{5}

derivative of x^{3/4}-3x^{1/4}

\frac{d}{d x} (x^{\frac{3}{4}} - 3 x^{\frac{1}{4}})