GCT入學(xué)資格考試微積分PPT學(xué)習(xí)教案

1、會計學(xué)1GCT入學(xué)資格考試微積分入學(xué)資格考試微積分第1頁/共33頁第2頁/共33頁第3頁/共33頁yxf第4頁/共33頁2,22,4)(1, 01, 1)(2xxxxfxxxg),()(21)(xxeexfxdtttxf02)1ln()()(),(xfgxgf求)21()(xfxg第5頁/共33頁第6頁/共33頁內(nèi)容綜述e)1 (lime11lim10 xxxxxx或e11lim nnn1sinlim0 xxx第7頁/共33頁)(0 xxx或0)(xf)(0 xxx或)(0 xxx或)(xf)(0 xxx或第8頁/共33頁0)(, 0)(,)*(0 xxxx時或低階無窮小比，同階無窮小與常數(shù)，

2、非記為等價無窮小與記為，更小高階無窮小比，)()()()(0)()(,)()(, 1)()()()()(0)()(*,xxxxxxxxxoxxxxxx)()(lim)()(lim)()(lim1*11*xxxxxxxxx)()(),()(, 0)(),(),(),(1111xxxxxxxx且第9頁/共33頁0)()(limlim0000 xfxxfyxx)()(lim)(lim000 xfxfxfxxxx存在)(lim),(lim00 xfxfxxxx第10頁/共33頁abannnn1)(lim11sinlimxxxxxx1sin1lim1sinlimxxxnnnxbab1)(1lim)(li

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

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

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