limit as x approaches 0 of 1/x sinh(x)

Lösung

x \to 0 lim (\frac{1}{x} sinh (x))

1

Schritte zur Lösung

x \to 0 lim (\frac{1}{x} sinh (x))

Vereinfache

\frac{1}{x} sinh (x) : \frac{sinh ( x )}{x}

= x \to 0 lim (\frac{sinh ( x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cosh ( x )}{1})

Setze den Wert

x = 0

ein

= \frac{cosh ( 0 )}{1}

Vereinfache

\frac{cosh ( 0 )}{1} : 1

= 1

\frac{d}{d x} (x^{3} (x - 2)^{5})

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

t an g e n t f (x) = - 2 cos (x), at x = - π

\int \frac{sec ( x ) tan ( x )}{tan ( x )} d x

d er i v a t i v e f (x) = 2 x - 1