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LUNDS TEKNISKA HÖGSKOLA LÖSNINGAR MATEMATIK ANALYS 1 Helsingborg 2025-01-17 1. a) 2 2 22 7 4 2 7 1lim ( 2) (2 2) 0x x x x b) 2 sinsin 12lim 2 2 2 x x x c) 3 60 1lim 1 x xx e e = 3 3 6 60 0 0 ( 1)3 1 3 2 1 1lim lim 1 1 0 3 ( 1) 3 ( 1) 2 2 2 x x x xx x e x e x x e x e d) 2 2 2 2 (2 7 4 ) (2 7 4 )lim 2 7 4 ( )
https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_1/Loesningar/LoesningarAnalys1-250117.pdf - 2026-05-04
