limit as x approaches 0 of (tan(7x))/x

Lösung

x \to 0 lim (\frac{tan ( 7 x )}{x})

7

Schritte zur Lösung

x \to 0 lim (\frac{tan ( 7 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{sec ^{2} ( 7 x ) \cdot 7}{1})

Setze den Wert

x = 0

ein

= \frac{sec ^{2} ( 7 \cdot 0 ) \cdot 7}{1}

Vereinfache

\frac{sec ^{2} ( 7 \cdot 0 ) \cdot 7}{1} : 7

= 7

\frac{\partial}{\partial x} (x^{x})

d er i v a t i v e g (x) = 1 + 2 x

n = 1 \sum \infty (\frac{cos ( π )}{3})^{n}

\int_{0}^{\frac{π}{4}} sin^{3} (x) d x

\frac{\partial}{\partial y} (\frac{2 x}{x ^{2} + y})