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Beliebt Rechnen >

limit as x approaches 0+of x/(1+ln(x))

Lösung

x \to 0 + lim (\frac{x}{1 + ln ( x )})

Lösung

0

Schritte zur Lösung

x \to 0 + lim (\frac{x}{1 + ln ( x )})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

mit Einschränkung des unbestimmten Ausdrucks

= \frac{lim _{x \to 0 +} ( x )}{lim _{x \to 0 +} ( 1 + ln ( x ) )}

x \to 0 + lim (x) = 0

x \to 0 + lim (1 + ln (x)) = - \infty

= \frac{0}{- \infty}

Wende die Unendlichkeitseigenschaft an:

\frac{0}{- \infty} = 0

= 0

Graph

Beliebte Beispiele

y^{''}+7y^'=0,y(0)=1,y^'(0)=1

y^{^{''}} + 7 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

(dy)/(dx)=2yx+yx^2,y(-3)=1

\frac{d y}{d x} = 2 y x + y x^{2}, y (- 3) = 1

tangent h(x)= 1/(2sqrt(x)),\at x=4

t an g e n t h (x) = \frac{1}{2 x}, at x = 4

limit as x approaches-2 of 2x^2

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

integral of x^3sqrt(5+x^2)

\int x^{3} 5 + x^{2} d x