GCT入学资格考试微积分PPT学习教案

1、会计学1GCT入学资格考试微积分入学资格考试微积分第1页/共33页第2页/共33页第3页/共33页yxf第4页/共33页2,22,4)(1, 01, 1)(2xxxxfxxxg),()(21)(xxeexfxdtttxf02)1ln()()(),(xfgxgf求)21()(xfxg第5页/共33页第6页/共33页内容综述e)1 (lime11lim10 xxxxxx或e11lim nnn1sinlim0 xxx第7页/共33页)(0 xxx或0)(xf)(0 xxx或)(0 xxx或)(xf)(0 xxx或第8页/共33页0)(, 0)(,)*(0 xxxx时或低阶无穷小比，同阶无穷小与常数，

2、非记为等价无穷小与记为，更小高阶无穷小比，)()()()(0)()(,)()(, 1)()()()()(0)()(*,xxxxxxxxxoxxxxxx)()(lim)()(lim)()(lim1*11*xxxxxxxxx)()(),()(, 0)(),(),(),(1111xxxxxxxx且第9页/共33页0)()(limlim0000 xfxxfyxx)()(lim)(lim000 xfxfxfxxxx存在)(lim),(lim00 xfxfxxxx第10页/共33页abannnn1)(lim11sinlimxxxxxx1sin1lim1sinlimxxxnnnxbab1)(1lim)(li

3、m0 xfx时0 xxxfx)(xxf1)(4)(lim1xfx1x1x1lim)(2212nnnxbxaxxxf第11页/共33页1, 11,1) 1sin(3)(2xeexxxxfaxax)(22cbxaxex2x ）（）1-1()2(34xxxy第12页/共33页第13页/共33页),(0 xf ,)(0 xxxf,0 xxdxdy0 xxyxxfxxfxyxfxx)()(limlim)(00000)(lim)(00 xfxfxx)(0 xf)(0 xf第14页/共33页)()(),(),(),(xgufdxdududydxdyxguufyxgfy第15页/共33页第16页/共33页0

4、xhxfhxfh)()(lim000 xxxfxxfx)()(lim000 第17页/共33页, 0,)(0kkxf)(0 xfxexyy)ln()(0 xyydxdyx及第18页/共33页第19页/共33页第20页/共33页00)()(limxgxf)()(lim)()(limxgxfxgxf00第21页/共33页)0(0)(xf第22页/共33页第23页/共33页第24页/共33页20)1ln(sin1tan1limxxxxxx)tan11(lim20 xxxx)()(, 0)(, 0)(xfxxfyxfxf 0 x0dyy0dyy0ydy0ydy), 0 01sin3221xxx第25页

5、/共33页第26页/共33页)()(xfxFIxdxxf)(CxFdxxf)()()()()()(xdxfdxxxf)(txdtttf)()(dxxf)(dxxvxuxduxvxvxuxdvxu)()()()()()()()()(xv第27页/共33页niiixf10)(limmax,1iiiiixxxbadxxf)(第28页/共33页)()()()(xgxgfdttfdxdxgabaabbadxxfdxxfbadxxfba)()(,; 0)(,上是偶函数在上是奇函数在),()(,)(2),()(,0)(0aaxfdxxfaaxfdxxfaaa第29页/共33页)(),(,)()()(11)(abdtttfdxxftxba)()(| )()(aFbFxFdxxfbababababaxduxvxvxuxdvxu)()(| )()()()(第30页/共33页dxxxx )1 (arctanxedx1dxxex21xexdttdxdsin)2ln(dxxxx22224)1ln(dxxfexxfx102)()(10)(dxxf)8(31)(23)(1xdttgxfx2123xx231x)(xf )(xg)(lim0 xfxx)(lim0 xgxxx0)( dttf