GLMA 302, Analyse 3

f00(a)

un+1 =f(un)
f D
f D
(fn)Pun
(fn)
Pun
(fn)
Pun

Pun
Pun
]−R, R[
Γ

f:D→RD f x D
∀x∈D, ∀ε > 0,∃α > 0,∀y∈D, |y−x|< α ⇒ |f(y)−f(x)|< ε.
α ε x
α ε ε > 0α
f:D→Rf D
∀ε > 0,∃α > 0,∀(x, y)∈D2,|y−x|< α ⇒ |f(y)−f(x)|< ε.
[1,+∞[
]0,+∞[
f:D→Rf
D((xn),(yn)) D
limn→∞ xn−yn= 0 limn→∞ f(xn)−f(yn)=0
f
(xn) (yn)xn−ynf(xn)−f(yn)
]0,+∞[