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

Lösung

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

1

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{- sec ( x ) + 2 sec ^{3} ( x )}{1})

Setze den Wert

x = 0

ein

= \frac{- sec ( 0 ) + 2 sec ^{3} ( 0 )}{1}

Vereinfache

\frac{- sec ( 0 ) + 2 sec ^{3} ( 0 )}{1} : 1

= 1

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