de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

limit as x approaches 0+of ((ln(x))^2)/x

Lösung

x \to 0 + lim (\frac{( ln ( x ) ) ^{2}}{x})

Lösung

\infty

Schritte zur Lösung

x \to 0 + lim (\frac{( ln ( x ) ) ^{2}}{x})

\frac{ln ^{2} ( x )}{x} = ln^{2} (x) \frac{1}{x}

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

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

mit Einschränkung des unbestimmten Ausdrucks

= x \to 0 + lim (ln^{2} (x)) \cdot x \to 0 + lim (\frac{1}{x})

x \to 0 + lim (ln^{2} (x)) = \infty

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

= \infty \cdot \infty

Wende die Unendlichkeitseigenschaft an:

\infty \infty = \infty

= \infty

Graph

Beliebte Beispiele

(\partial)/(\partial x)(sin^4(x))

\frac{\partial}{\partial x} (sin^{4} (x))

steigung (-4,6),(3,-8)

s l o p e (- 4, 6), (3, - 8)

integral of (4x^3-2)x^2

\int (4 x^{3} - 2) x^{2} d x

sum from n=1 to infinity of (n!)/(5^n)

n = 1 \sum \infty \frac{n !}{5 ^{n}}

derivative f(x)= 1/(x^{16)}

d er i v a t i v e f (x) = \frac{1}{x ^{16}}