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 (9sin(x))/(\sqrt[3]{x)}

Lösung

x \to 0 lim (\frac{9 sin ( x )}{3 x})

Lösung

0

Schritte zur Lösung

x \to 0 lim (\frac{9 sin ( x )}{3 x})

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

= 9 \cdot x \to 0 lim (\frac{sin ( x )}{3 x})

Wende das L'Hopital Theorem an

= 9 \cdot x \to 0 lim (\frac{cos ( x )}{\frac{1}{3 x ^{\frac{2}{3}}}})

Vereinfache

= 9 \cdot x \to 0 lim (3 x^{\frac{2}{3}} cos (x))

Setze den Wert

x = 0

ein

= 9 \cdot 3 \cdot 0^{\frac{2}{3}} cos (0)

Vereinfache

9 \cdot 3 \cdot 0^{\frac{2}{3}} cos (0) : 0

= 0

Graph

Beliebte Beispiele

derivative of 4xcos(x)

\frac{d}{d x} (4 x cos (x))

derivative of 2/3 x^{-1/3}

\frac{d}{d x} (\frac{2}{3} x^{- \frac{1}{3}})

integral of (x/y)

\int (\frac{x}{y}) d y

integral from 4 to infinity of e^{4x}

\int_{4}^{\infty} e^{4 x} d x

integral of sqrt(5-x^2)

\int 5 - x^{2} d x