limit as x approaches a of (sec(x)-sec(a))/(x-a)

Lösung

x \to a lim (\frac{sec ( x ) - sec ( a )}{x - a})

sec (a) tan (a)

Schritte zur Lösung

x \to a lim (\frac{sec ( x ) - sec ( a )}{x - a})

Wende das L'Hopital Theorem an

= x \to a lim (\frac{sec ( x ) tan ( x )}{1})

Setze den Wert

x = a

ein

= \frac{sec ( a ) tan ( a )}{1}

Vereinfache

= sec (a) tan (a)

a re a y = 6 - ln (x + 1), y = ln (x + 1), x = 0

\int \frac{a}{( a ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x

\int_{3}^{6} \frac{x}{3 x ^{2} - 8} d x

\int 3 (x + 10) e^{x} d x

\frac{d}{d x} (e^{(\frac{x}{2})})