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Given-u-n-n-N-suppose-u-2n-n-N-and-u-2n-1-n-N-converge-towards-the-same-limit-L-Show-that-u-n-n-N-equally-converges-to-L-




Question Number 97807 by Ar Brandon last updated on 09/Jun/20
Given (u_n )_(n∈N) , suppose (u_(2n) )_(n∈N)  and (u_(2n+1) )_(n∈N)   converge towards the same limit, L.  Show that (u_n )_(n∈N)  equally converges to L.
Given(un)nN,suppose(u2n)nNand(u2n+1)nNconvergetowardsthesamelimit,L.Showthat(un)nNequallyconvergestoL.

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