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渐近线性映射在无穷远处的某些性质和R^n空间中的未定型的极限
引用本文:李翀.渐近线性映射在无穷远处的某些性质和R^n空间中的未定型的极限[J].首都师范大学学报(自然科学版),1997,18(3):20-26.
作者姓名:李翀
作者单位:首都师范大学数学系
摘    要:讨论渐近线性映射在无穷远处的性质,通过本身的性质展现其原函数的性质还讨论了R^n中未定型的极限问题.这是洛必达法则的一种自然推广.

关 键 词:线性映射  无穷  渐近线  极限问题  洛必达法则  原函数  性质  定型  展现  推广

Some Behaviors of Asymptotically Linear Mappings at Infinity and the Limit of Indeterminate Form in Euclidean Space R n
Li Chong.Some Behaviors of Asymptotically Linear Mappings at Infinity and the Limit of Indeterminate Form in Euclidean Space R n[J].Journal of Capital Normal University(Natural Science Edition),1997,18(3):20-26.
Authors:Li Chong
Abstract:In the first part of this paper, some behaviors of asymptotically linear mappings at infinity were discussed. In the second part of the paper, the limit of indeterminate form were considered in Euclidean space R n . Some analogys and extensions of L'Hpital's rule were established in R n .
Keywords:asymptotically linear mapping  mean value formula for integrals  norm  inner product  limit of indeterminate form    
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