limit as x approaches 0 of (sin(x))/x+3

Lösung

x \to 0 lim (\frac{sin ( x )}{x} + 3)

4

Schritte zur Lösung

x \to 0 lim (\frac{sin ( x )}{x} + 3)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 0 lim (\frac{sin ( x )}{x}) + x \to 0 lim (3)

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

x \to 0 lim (3) = 3

= 1 + 3

Vereinfache

= 4

d er i v a t i v e f (x) = arccos (e^{x})

\frac{\partial}{\partial y} (x - y^{2})

x \to 0 lim (\frac{6 x ^{2}}{x ^{2}})

\frac{\partial}{\partial x} (e^{- x^{5} - y^{3}})

y + 2 y^{^{'}} + 5 y = 4 \cdot e^{- t} \cdot cos (2 t)