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Beliebt Rechnen >

limit as x approaches 0-of (1/2)^{1/x}

Lösung

x \to 0 - lim ((\frac{1}{2})^{\frac{1}{x}})

Lösung

\infty

Schritte zur Lösung

x \to 0 - lim ((\frac{1}{2})^{\frac{1}{x}})

Wende Exponentenregel an

= x \to 0 - lim (\frac{1}{2 ^{\frac{1}{x}}})

Wende Exponentenregel an:

\frac{1}{a ^{b}} = a^{- b}

\frac{1}{2 ^{\frac{1}{x}}} = 2^{- \frac{1}{x}}

= x \to 0 - lim (2^{- \frac{1}{x}})

Wende Exponentenregel an

= x \to 0 - lim (e^{- \frac{1}{x} l n (2)})

Wende die Kettenregel für Grenzen an:

\infty

= \infty

Graph

Beliebte Beispiele

limit as x approaches-3 of 8x^2

x \to - 3 lim (8 x^{2})

integral of 1/(9x^3-2x^2)

\int \frac{1}{9 x ^{3} - 2 x ^{2}} d x

tangent y=x^2-3x+3,(0,3)

t an g e n t y = x^{2} - 3 x + 3, (0, 3)

derivative f(x)= A/(x^7)+Be^7

d er i v a t i v e f (x) = \frac{A}{x ^{7}} + B e^{7}

derivative of cos(2)

\frac{d}{d x} (cos (2))