设数列{Un}收敛,则n→∞时limUn=limUn+k是否成立RT
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![设数列{Un}收敛,则n→∞时limUn=limUn+k是否成立RT](/uploads/image/z/10431007-7-7.jpg?t=%E8%AE%BE%E6%95%B0%E5%88%97%7BUn%7D%E6%94%B6%E6%95%9B%2C%E5%88%99n%E2%86%92%E2%88%9E%E6%97%B6limUn%3DlimUn%2Bk%E6%98%AF%E5%90%A6%E6%88%90%E7%AB%8BRT)
设数列{Un}收敛,则n→∞时limUn=limUn+k是否成立RT
设数列{Un}收敛,则n→∞时limUn=limUn+k是否成立
RT
设数列{Un}收敛,则n→∞时limUn=limUn+k是否成立RT
设数列收敛于t
那么有lim[n -> ∞] U[n] = t
且lim[n -> ∞] U[n+k] = lim[(n+k) -> ∞] U[n+k] = t
所以n -> ∞时,lim U[n] = lim U[n+k]