無(wú)窮級(jí)數(shù)習(xí)題選擇題

無(wú)窮級(jí)數(shù)習(xí)題一選擇題1、若極限SKIPIF1<0則級(jí)數(shù)SKIPIF1<0()SKIPIF1<0、收斂；SKIPIF1<0、發(fā)散；SKIPIF1<0、條件收斂；SKIPIF1<0、絕對(duì)收斂。2、如果級(jí)數(shù)SKIPIF1<0發(fā)散，SKIPIF1<0為常數(shù)，則級(jí)數(shù)SKIPIF1<0()SKIPIF1<0、發(fā)散；SKIPIF1<0、可能收斂；SKIPIF1<0、收斂；SKIPIF1<0、無(wú)界。3、如果級(jí)數(shù)SKIPIF1<0發(fā)散，下列結(jié)論正確的是（）SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0C、SKIPIF1<0SKIPIF1<0、SKIPIF1<04、若級(jí)數(shù)SKIPIF1<0收斂,SKIPIF1<0是它前SKIPIF1<0項(xiàng)部分和,則該級(jí)數(shù)的和SKIPIF1<0()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<05、級(jí)數(shù)SKIPIF1<0是()SKIPIF1<0、冪級(jí)數(shù)SKIPIF1<0、調(diào)和級(jí)數(shù)SKIPIF1<0、SKIPIF1<06、在下列級(jí)數(shù)中,發(fā)散的是()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<07、下列級(jí)數(shù)中,發(fā)散的是()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<08、如果級(jí)數(shù)SKIPIF1<0收斂，且SKIPIF1<0其和為SKIPIF1<0則級(jí)數(shù)SKIPIF1<0（）；SKIPIF1<0、收斂且其和為SKIPIF1<0；SKIPIF1<0、收斂但其和不一定為SKIPIF1<0；SKIPIF1<0、發(fā)散；SKIPIF1<0、斂散性不能判定。9、下列級(jí)數(shù)發(fā)散的是（）SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0C、SKIPIF1<0SKIPIF1<0、SKIPIF1<010、設(shè)常數(shù)SKIPIF1<0幾何級(jí)數(shù)SKIPIF1<0收斂，則SKIPIF1<0應(yīng)滿足()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<011、若SKIPIF1<0滿足條件(),則級(jí)數(shù)SKIPIF1<0一定收斂；SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<012、若級(jí)數(shù)SKIPIF1<0發(fā)散，則有（）；SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<013、下列級(jí)數(shù)絕對(duì)收斂的是（）SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<014、下列級(jí)數(shù)收斂的是（）SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<015、下列級(jí)數(shù)中條件收斂的是（）SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0。16、若級(jí)數(shù)SKIPIF1<0收斂，則級(jí)數(shù)SKIPIF1<0（）SKIPIF1<0、發(fā)散；SKIPIF1<0、絕對(duì)收斂；SKIPIF1<0、條件收斂；SKIPIF1<0、斂散性不能判定。17、若級(jí)數(shù)SKIPIF1<0均發(fā)散，則（）SKIPIF1<0、SKIPIF1<0發(fā)散；SKIPIF1<0、SKIPIF1<0發(fā)散；SKIPIF1<0、SKIPIF1<0發(fā)散；SKIPIF1<0、SKIPIF1<0發(fā)散；18、若極限SKIPIF1<0則級(jí)數(shù)SKIPIF1<0()SKIPIF1<0、收斂且其和為SKIPIF1<0；SKIPIF1<0、收斂且其和為SKIPIF1<0；SKIPIF1<0、收斂且其和為SKIPIF1<0；SKIPIF1<0、發(fā)散。19、如果級(jí)數(shù)SKIPIF1<0收斂，則下列結(jié)論不成立的是（）SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0收斂；SKIPIF1<0、SKIPIF1<0為常數(shù)）收斂；SKIPIF1<0、SKIPIF1<0收斂。20、關(guān)于級(jí)數(shù)SKIPIF1<0收斂的正確答案是（）SKIPIF1<0、當(dāng)SKIPIF1<0時(shí)條件收斂；SKIPIF1<0、當(dāng)SKIPIF1<0時(shí)條件收斂；SKIPIF1<0、當(dāng)SKIPIF1<0時(shí)條件收斂；SKIPIF1<0、當(dāng)SKIPIF1<0時(shí)發(fā)散。21、設(shè)SKIPIF1<0,且正項(xiàng)級(jí)數(shù)SKIPIF1<0收斂,則SKIPIF1<0()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0。22、交錯(cuò)級(jí)數(shù)SKIPIF1<0（）SKIPIF1<0、絕對(duì)收斂；SKIPIF1<0、發(fā)散；SKIPIF1<0、條件收斂；SKIPIF1<0、斂散性不能判定。23、設(shè)冪級(jí)數(shù)SKIPIF1<0在SKIPIF1<0處收斂，則在SKIPIF1<0處（）SKIPIF1<0、絕對(duì)收斂；SKIPIF1<0、發(fā)散；SKIPIF1<0、條件收斂；SKIPIF1<0、斂散性不能判定。24、設(shè)SKIPIF1<0則級(jí)數(shù)SKIPIF1<0（）SKIPIF1<0、必收斂于SKIPIF1<0SKIPIF1<0、收斂性不能判定。C、必收斂于0。SKIPIF1<0、一定發(fā)散。25、設(shè)冪級(jí)數(shù)SKIPIF1<0在SKIPIF1<0處收斂，則此冪級(jí)數(shù)在SKIPIF1<0處（）SKIPIF1<0、一定發(fā)散SKIPIF1<0、一定條件收斂SKIPIF1<0、一定絕對(duì)收斂SKIPIF1<0、斂散性不能判定。26、設(shè)冪級(jí)數(shù)SKIPIF1<0在SKIPIF1<0處收斂，又極限SKIPIF1<0則（）SKIPIF1<0、SKIPIF1<0;SKIPIF1<0、SKIPIF1<0;SKIPIF1<0、SKIPIF1<0;SKIPIF1<0、SKIPIF1<027、設(shè)冪級(jí)數(shù)SKIPIF1<0的收斂半徑為SKIPIF1<0，則冪級(jí)數(shù)SKIPIF1<0的收斂半徑為（）SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0。28、冪級(jí)數(shù)SKIPIF1<0的收斂半徑SKIPIF1<0()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、.SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<029、函數(shù)SKIPIF1<0的展開式SKIPIF1<0SKIPIF1<0的收斂區(qū)間是（）SKIPIF1<0、SKIPIF1<0；B、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0。30、冪級(jí)數(shù)SKIPIF1<0在SKIPIF1<0上的和函數(shù)是（）SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0。31、當(dāng)SKIPIF1<0,冪級(jí)數(shù)SKIPIF1<0的和函數(shù)SKIPIF1<0()SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<0SKIPIF1<0、SKIPIF1<032、級(jí)數(shù)SKIPIF1<0的和是（）SKIPIF1<0、1；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0。33、函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)展成SKIPIF1<0的冪級(jí)數(shù)是（）SKIPIF1<0、SKIPIF1<0；SKIPIF1<0、SKIPIF1<0；SKIPIF