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Beliebt Rechnen >

limit as x approaches 0+of ln(1/(x^4))

Lösung

x \to 0 + lim (ln (\frac{1}{x ^{4}}))

Lösung

\infty

Schritte zur Lösung

x \to 0 + lim (ln (\frac{1}{x ^{4}}))

Wende die log Regel an:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= x \to 0 + lim (- ln (x^{4}))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - x \to 0 + lim (ln (x^{4}))

ln (x^{4}) = 4 ln (x)

= - x \to 0 + lim (4 ln (x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 4 \cdot x \to 0 + lim (ln (x))

Wende die allgemeine Grenze an:

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

= - 4 (- \infty)

Wende die Unendlichkeitseigenschaft an:

- c \cdot (- \infty) = \infty

= \infty

Graph

Beliebte Beispiele

derivative u(x)=sqrt(x)

d er i v a t i v e u (x) = x

derivative f(x)=3x^3+15x^2+29x+3

d er i v a t i v e f (x) = 3 x^{3} + 15 x^{2} + 29 x + 3

integral of 4ln(t)

\int 4 ln (t) d t

derivative g(x)=sin(9-3x)

d er i v a t i v e g (x) = sin (9 - 3 x)

derivative f(x)= x/(9x^2-1)

d er i v a t i v e f (x) = \frac{x}{9 x ^{2} - 1}