12. (a) Let j be a positive integer. Show that OO ak converges iff ak converges. k=0 k=j j-1 (b) Show that if ak =
12. (a) Let j be a positive integer. Show that OO ak converges iff ak converges. k=0 k=j j-1 (b) Show that if ak = L, then ak = L - ak. k=0 k=j k=0 j-1 (c) Show that if Cak = M, then E ak = M + ak . k=j k=0 k=0
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