【摘要】 针对文 [1]中讨论的当b =7、13、12时 ,数列 {an} =bk- bk+an-2 的极限A分别为2、3、4时的结论 ;证明了 :当bk =k2 +k+1(k为自然数 )时 ,数列 {an}的极限为k。同时还给出了著名的Cauchy中值定理与Taylor中值定理的一个统一的推广定理。更多还原

【Abstract】 Paper one discusses that the limits of A in sequence are 2,3,4, when b=7, 13, 12. This paper demonstrates that when bk=k2+k+1 (k is natural number), the limit of sequence is k.. It also puts forward a united extended theorem of famous Cauchy theorem of mean and Taylor theorem of mean.更多还原