Proof of convergent sequences

[e179285]

How can we prove this statement?


It two subsequences (a_2n) and (a_2n-1) converge to the same value,then (a_n)) converges to that value also.

 

[tiny-tim]

hi e179285!

just write out the δ,ε definition twice, once for each series, then adapt it

(instead of δ, and x < δ, you use n, and n > N)