高數(shù)極限運算法則PPT課件

1、,)(lim,)(limBxgAxf)()(limxgxf)(lim)(limxgxfBA)()(limxgxf)(lim)(limxgxfBA)()(limxgxf)(lim)(limxgxfBA)(lim)(limxfCxfCnnxfxf )(lim)(lim第1頁/共21頁.lim11100nnnnxxaxaxaxa , 00limxxxx,lim00nnxxxx .limlimlim1110000nnxxnxxnxxaxaxaxa .0110100nnnnaxaxaxa 第2頁/共21頁1223 xxxlim41113232 31lim3xxx934lim223xxxx)3)(3()

2、1)(3(lim3xxxxx31第3頁/共21頁.4532lim21xxxx3245lim21xxxx0312415124532lim21xxxx第4頁/共21頁.125934lim22xxxxx,分子時x.分母22111125934limxxxxx,2x54第5頁/共21頁.12594lim2xxxIx2212594limxxxxIx0 x,.,2x第6頁/共21頁nmba,0(00mn 當(dāng)mmmxaxaxa110limnnnbxbxb110,00ba,0,mn 當(dāng)mn 當(dāng)?shù)?頁/共21頁.23123lim232xxxxxx532861lim.432xxxxxx-+第8頁/共21頁.)75(

3、)53() 12(lim503020 xxxx.53250302000ba第9頁/共21頁)1(lim2xxxxx)(xx12xxxx1lim212=1111lim2xx第10頁/共21頁).21(lim222nnnnnn)21(lim222nnnnn221limnnn2) 1(21limnnnn)11 (21limnn.21第11頁/共21頁 )(lim0 xfxxAufu)(lim .lim )(lim00Aufxfuuxx,0 xx ,xuufy ,lim00uxxx ,lim0Aufuu0uu 第12頁/共21頁.93lim23xxx93)(2xxxfy932xxuuy與.61lim9

4、3lim6133uxxux.61lim93lim323uxxxx第13頁/共21頁( )yf u0u,)(0Auf666131lim93lim93lim32323xxxxxxxx)(lim()( )(lim000 xfufAxfxxxx第14頁/共21頁01lim,xx 2111limxxxe211lim1xxxe2e10lim.xxe1ux lim0uue第15頁/共21頁.11lim1xxx,xu , 1lim1ux11112uuxx1 u) 1(lim1uu211lim1xxx1) 1)(1(lim1xxxx) 1(lim1xx2第16頁/共21頁3214lim1xxaxxx1lim(1)0,xx3214lim1xxaxxlx極限極限321lim(4)0,xxaxx3214lim1xxaxxx1(4)(1)(1)lim1xxxxx1lim(4)(1)10,xxx第17頁/共21頁第18頁/共21頁)(xfbxaxxxf2322)(xxfx)(lim300,3ba,22)(lim23xxxfx,3)(lim0 xxfx. )(xf)(lim0 xbaxxxxxf322)(23第19頁/共21頁