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 3+of (6x)/(x^2-9)

Lösung

x \to 3 + lim (\frac{6 x}{x ^{2} - 9})

Lösung

\infty

Schritte zur Lösung

x \to 3 + lim (\frac{6 x}{x ^{2} - 9})

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

= 6 \cdot x \to 3 + lim (\frac{x}{x ^{2} - 9})

\frac{x}{x ^{2} - 9} = x \frac{1}{x ^{2} - 9}

= 6 \cdot x \to 3 + lim (x \frac{1}{x ^{2} - 9})

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

= 6 \cdot x \to 3 + lim (x) \cdot x \to 3 + lim (\frac{1}{x ^{2} - 9})

x \to 3 + lim (x) = 3

x \to 3 + lim (\frac{1}{x ^{2} - 9}) = \infty

= 6 \cdot 3 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

Graph

Beliebte Beispiele

laplacetransform tsin(t)

l a pl a ce t r an s f or m t sin (t)

integral from 0 to infinity of x^2

\int_{0}^{\infty} x^{2} d x

integral of 1/(x^2+7)

\int \frac{1}{x ^{2} + 7} d x

derivative of arctan(x+x/(1+x^2))

\frac{d}{d x} (arctan (x) + \frac{x}{1 + x ^{2}})

derivative (tan(x))(sqrt(x))

d er i v a t i v e (tan (x)) (x)