数学分析数学分析数学分析 (1).pdf

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2、?P1,iiixx5?34?:?)(max1inix?1)(1?:?Ixfniii5?n?(1,2,i)x i:?n?,?f x()a b1,iixx?f x()1,iixx?203111,iin5555?i5?1)(1?:?Ixfniii5?,?f x()a b?Darboux?f x()lim()4?0S Pl?0?/1?lS?S?0)(PS?2)(01?PSl?bxxxxaPp?210:?mM,f x()()$%&?:?)(1(2,min21mMpxxxp13?34?:?)(max1inix?bxxxxaPn?210:?)(PS?PP,?P?7.1.1?0)()(?PSPS?)()(PS

3、PS?1?),(1iixx?P?)(),(PSPS?2?),(1iixx?P?1?p?3?pjnixxji,2,1,2,1,?:?:3?),(1iixx?jx?)(),(PSPS?)()()(11?iiijiiijixxmxxmxxm)(1?iixxmM3)(mM?204?2)(1()()(013?mMpPSPS?)()()()()()(0PSPSPSPSPSlPSl?111?202?lPS?)(lim04?7.1.3?0?/1?P?311?:?piiix?3)()(1?PSPS?()$%&?:?)(1(3,min21mMpxxxp13?34?:?)(max1inix?bxxxxaPn?210

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5、niii?7.1.3?0,1?)(xf?2?0,1?P2?i?21?:?niiix?7.1.2?0,1?)(xf?3?0,1?P?)(xf,1iixx?ix?.?:niiiniiiiiniiiiniiixxxxxxxxxx1212111111)(21)(2)(21)(21202?xxn?0,1?)(xf?4?0,1?1()f x?1)(xf1 111,2 3xn?0 x?01/?14?m?)(xf 1,1m?)(xf 1,1m?1,1m?P211?:?niiix?0?0,1?PP111?:?:?:?2211111xxxniiiniii?0,1?)(xf6.?,?m?f x(),a ba b0|

6、)(|?.mxf 206?)(1xf?,?a b?,a bbxxxxann?110?)(1)()(sup1)(1)(1sup)1(2,2,11fmxfxfmxfxffixxxxxxxxiiiii?()$%&?f x(),a b0,0?0?/31?34?:?)(max1inix?121)(mxfniii?:?1?:?niiixf1)1(?)(1xf?,?a b7.?f x(),a bxnn?1limnnx?f x()?,a b?limnnx?c?),(bac?Mxf?)(?0?/1?cbacM,12min13?0?0N?Nn?3?cxn?f x(),3?ca?,bc3?f x()?,3?ca?,

7、bc3?,3?ca?)1(P?,bc3?)2(P?3,3)2()2()1()1(11?:?:?iiiiiixx?)1(P?)2(P?,?a bP1niiix?:?11113?:?:?3334)2()2()1()1(Mxxiiiiii?,?f x()a bca?cb?8?)(xf,ba)(xf,ba?0?1?0?E?P?1.i?,1iixx?.?:1Eiix?207?:?Mxf?)(?0?/E1,?,?P1.i?.?:1iix1,?1112)(1Mabxxxiiiiiiniii?:?:?:?.?)(xf,ba?00?1?00?E?P?01.i?0E,?00010001E1111.:.:?:?:?.?iiiiiiiiniiixxxx?0max1?:?inix4?:niiix1)(xf,ba9.?f x(),a bAf xB?(),?,?)(ugA B?,?g f x()a b?,?)(ug,BAMug?)(?,?)(ug0?/1,0?03,?,BAuu?/3?uu,?)(2)()(abugug?1?,?8,?)(xf,ba0?1?0?3,?P,?3.)(fi?M41,?.?:?:?:33)()(1)()()(fiifiiniiiiixfgxfgxfg?111133?2?:?:?.?MMababxMxabfifiii42)()(22)(2)()(?,?g f x()a b 208