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Beliebt Rechnen >

limit as x approaches 0 of (tan(5x))/x

Lösung

x \to 0 lim (\frac{tan ( 5 x )}{x})

Lösung

5

Schritte zur Lösung

x \to 0 lim (\frac{tan ( 5 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{sec ^{2} ( 5 x ) \cdot 5}{1})

Setze den Wert

x = 0

ein

= \frac{sec ^{2} ( 5 \cdot 0 ) \cdot 5}{1}

Vereinfache

\frac{sec ^{2} ( 5 \cdot 0 ) \cdot 5}{1} : 5

= 5

Graph

Beliebte Beispiele

integral of 1/(x^3)-x

\int \frac{1}{x ^{3}} - x d x

derivative of x^3(x-3^2)

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

limit as x approaches 0 of 2

x \to 0 lim (2)

derivative of 1/3 x^3+2x-4

\frac{d}{d x} (\frac{1}{3} x^{3} + 2 x - 4)

sum from n=0 to infinity of (6/5)^n

n = 0 \sum \infty (\frac{6}{5})^{n}