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(4) Use MacLaurin series to evaluate the following limits. Do not use LHospitals rule. (a) lim-0 21+ucos g -3 sin e 136.23-

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a lim 20c+x cosa-3 sina of machauriach series Cosx = 24 h! XCOSO 1- x² +84 21 7 SC-003 21 - 00 6! 7 sina x-x3. 31 20 tas 5, 711 2 1 - 3 GI 4 - 23 24 2/3 1 GO 0.01667 -1 60 series of chool = Itec 3! 52 lim Vi+3 60 3 - 1 sin (Goce ²1.0) machauran + P- 3x3 +6x4 By ! -63 5! X-> 0 lim J1+36x² – 1 sin (6x) (et 1-0 =lim 30363*33...) x-> 0 7 (18 [3+ -6 3 + 6x + 31 + 5) - 6 olm

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