Das Wallissche Produkt

π

0

( ) ( )

Gerade

⋅ ⋅ ⋅ ⋅ − ⋅

(

≤ + +

∫ 2 0 0 1 : ⋅ = ⁺ dx

Es 2 sin

+ +

3

( ) ( )( ) ( )( )( )

⇒

( ) ( ) ( ) ( ) ( ) ( )( )

Die Trapezregel

[ ]

( )

^{1 1 1} ∫ ∫ ∫ ′ ′ = = dx f(x) gdx f(x) (-1)dx ) x ( f

^{0 0 0} [ ] ¹ ∫ ′ ′ ′ + = ¹ dx (x) g (x) f (x) g f(x) - ^{0 0} [ ] ¹ ∫ ′ ′ ′ ′ + ⋅ ⋅ = dx (x) g (x) f (0) g f(0) -(1) g f(1) - ⁰ [ ] ¹ 1 ∫ ′ ′ + + = dx (x) g (x) f f(1) f(0)

2

0

5

∫

0 0

[ ]

1

∫ ′ ′ ⋅ ξ = dx (x) g ) ( f - 0

π ∼ 3,694528

+

k

7

= Summation

( )

[ ]

1

( )

⇒

n

^{ + } 1

² e n e n ... 2 1 n

⇒

→ c ^{n n} = ∞ γ ∞ n n

Quotient

Grenzwert

: das ir benützen w berechnen, zu c Um Produkt Wallische

9