limit as t approaches 0 of (3e^t-3)/t

Lösung

t \to 0 lim (\frac{3 e ^{t} - 3}{t})

3

Schritte zur Lösung

t \to 0 lim (\frac{3 e ^{t} - 3}{t})

Wende das L'Hopital Theorem an

= t \to 0 lim (\frac{3 e ^{t}}{1})

Setze den Wert

t = 0

ein

= \frac{3 e ^{0}}{1}

Vereinfache

= 3

\frac{\partial}{\partial x} (sin (5 x y + 8 yz + 9 x z))

\int \frac{1}{x ^{2} + π ^{2}} d x

\frac{\partial}{\partial x} (3^{s i n (3 x)})

\frac{d}{d x} ((4 x + 3)^{5})

in v erse l a pl a ce (\frac{2}{s} + \frac{1}{s ^{3}})^{2}