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## Main Question or Discussion Point

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?