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 sin(x)*1/x

Lösung

x \to 0 lim (sin (x) \cdot \frac{1}{x})

Lösung

1

Schritte zur Lösung

x \to 0 lim (sin (x) \frac{1}{x})

Vereinfache

sin (x) \frac{1}{x} : \frac{sin ( x )}{x}

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

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

= \frac{cos ( 0 )}{1}

Vereinfache

\frac{cos ( 0 )}{1} : 1

= 1

Graph

Beliebte Beispiele

derivative of ((2x/(x+2))^4)

\frac{d}{d x} ((\frac{2 x}{x + 2})^{4})

limit as x approaches 8 of ((x+6))/(x-8)

x \to 8 lim (\frac{( x + 6 )}{x - 8})

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

\int \frac{x ^{2}}{( 5 + x ^{3} ) ^{2}} d x

derivative f(x)=-2cos(x)

d er i v a t i v e f (x) = - 2 cos (x)

integral of sqrt(x)-2/(sqrt(x))

\int x - \frac{2}{x} d x