limit as x approaches 0 of (arctan(x))/x

Lösung

x \to 0 lim (\frac{arctan ( x )}{x})

1

Schritte zur Lösung

x \to 0 lim (\frac{arctan ( x )}{x})

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

= \frac{\frac{1}{0 ^{2} + 1}}{1}

Vereinfache

= 1

\int \frac{5 x + 4}{( x + 8 ) ^{2} ( x - 1 )} d x

\frac{d y}{d x} = \frac{x - 1}{x + 3} \frac{y - 2}{y - 3}

in v erse l a pl a ce \frac{2 s + 3}{s ^{2} + 6 s + 13}

\frac{1}{5} \frac{d y}{d x} = (\frac{1}{5})^{2} - \frac{1}{5}

in v erse l a pl a ce \frac{5 x + 5}{x ^{2} - 4}