数列极限练习题

332212211321.lim_____212.lim_____3(5)33.lim_____(5)344.lim______311234....(21)25.lim_____1(2)6.lim______124...(2)7.lim(nnnnnnnnnnnnnnnnnnnnnnnnn数列极限练习题21213)______211118.lim....(1)______3927319.lim0,____,_____110.(1)lim(12),_____(2)4,__11.lim(2)5,limnnnnnnnnnnnnnnanbabnxxaab则若存在则实数范围已知无穷等比数列的各项和是则首项的取值范围是已知1(3)1,lim()113(1)12.,1342(1)lim(2)limnnnnnnnnnnnnnababnnnaSannaS求的值若为数列的前项和求12123101511113.,9,27,,lim3114.,1,,,32lim15.,321111lim4lim1....(1),323927316.{},{}0nnnnnnnnnnnnnnnnnnaaaaaanSSSaanSSSaRaaaab数列为等比数列前项和为求数列为等比数列前项和为求已知且求范围数列都是公差不为的等差数列12211212221121,lim2,...lim17.{},1,(...)18.{}(0),,,lim,lim...19.{},,limnnnnnnnnnnnnnnnnnnnnnnnabaaanbaaakaakaqqaaSSnSSaaaaqnSaS求数列为无穷等比数列求实数的范围数列是公比为的无穷等比数列前项和为求无穷等比数列公比为前项和为2423521111,1...20.lim...121.{},lim()12nnnnnnqqaaaaaaaaaqqqa求范围求等比数列公比为求取值范围11222412221321222.{},1,3(1)lim(2)lim(...)23.{},4,16,lglg...lglim24.{},53,lim(...)25.()222(2nnnnnnnnnnnnnnnnnnnnanSSaSaSaSaSaaaaaananSaSaaafxxxx数列前项和为且求设正数等比数列求数列前项和为求已知函数11112211)(1)()(2){}1()2,{}{},2lim()nnnnnnnnnnnnnnfxanSnSfSaaaanTaaTn求反函数若正数数列前项和对所有大于的自然数都有且求通项公式(3)设C又设数列C前项和为求的值