Cristian Baboi:
> Suppose lim a_n = a , lim b_n = b, c_2n = a_n, c_2n+1 = b_n.
> 
> What is lim c_n ?

If my intuition was of any importance here, it would claim that c_n
diverges, because if I roughly approximate c_n by the sequence c' =
⟨a,b,a,b,...⟩, then I note that c' oscillates, so c_n »roughly
oscillates«.

Kalman

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