limit as x approaches 0 of (sin(x/4))/x

Lösung

x \to 0 lim (\frac{sin ( \frac{x}{4} )}{x})

\frac{1}{4}

Dezimale

0.25

Schritte zur Lösung

x \to 0 lim (\frac{sin ( \frac{x}{4} )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cos ( \frac{x}{4} ) \frac{1}{4}}{1})

Setze den Wert

x = 0

ein

= \frac{cos ( \frac{0}{4} ) \frac{1}{4}}{1}

Vereinfache

\frac{cos ( \frac{0}{4} ) \frac{1}{4}}{1} : \frac{1}{4}

= \frac{1}{4}

\int cos^{3} (x) tan^{2} (x) d x

\frac{d}{d x} y = \frac{3 3 x}{1 - x}

t an g e n t f (x) = \frac{4}{1 + x ^{2}}, at x = 1

x \to \frac{π}{2} - lim (e^{s e c (x)})

\int \frac{e t}{t} d t