< Reelle Sinusfunktion < Potenzreihe
Die
Abbildung
R
⟶
R
,
x
⟼
sin
x
:=
∑
n
=
0
∞
(
−
1
)
n
x
2
n
+
1
(
2
n
+
1
)
!
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,\,x\longmapsto \sin x:=\sum _{n=0}^{\infty }{\frac {(-1)^{n}x^{2n+1}}{(2n+1)!}},}
heißt (reelle)
Sinusfunktion
.
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