- #1
georg gill
- 153
- 6
Alternating series test:
1. All the [tex]u_n[/tex] are all positive
2. [tex]u_n\geq u_{n+1}[/tex] for all [tex]n \geq N[/tex]. For some integer N
3. [tex]u_n \rightarrow 0[/tex]
I thought it would hold with 2. and that the su m of the N first terms were not [tex]\infty[/tex]
Here is the theroem just in case:
http://bildr.no/view/1047382
Here they assume N=1 how can they do that?
1. All the [tex]u_n[/tex] are all positive
2. [tex]u_n\geq u_{n+1}[/tex] for all [tex]n \geq N[/tex]. For some integer N
3. [tex]u_n \rightarrow 0[/tex]
I thought it would hold with 2. and that the su m of the N first terms were not [tex]\infty[/tex]
Here is the theroem just in case:
http://bildr.no/view/1047382
Here they assume N=1 how can they do that?