期中考试参考答案成绩统计1、国商班平均成绩84.7,岭院班平均成绩82.7;2、100分同学名单:张一鸣、吕以琳、黄敏华、徐艺洁、许燕玲;3、两个班各有3位同学不及格(60分)。一、1、22'sin2()2,scosin,xufxxyevxexuv2、'4()515(1)540fxxyyxx3、00112limlimsin5sin51115xxxxxxxxx4、10982000110110110901limlimlim2245xxxxxxxxx5、'22(sin)(sin)c,(),sionsdyfxfyuufvdvxxxx6、'()()()()()()()()limlimlm(()i)xaxaxafxxagxfxfaxagxfagxxgaaxa7、奇函数的导数是偶函数,所以'()fak8、f1021,20D(2,1)xxx即9、00sin7(0)lim()li75msin5xxxkffxx10、5'22252'33()3(4)3(4)223(4)0236423fxxxxxf二、1、A211cos02xxx,当2、B()()()()()()()limlimlim()()xaxaxafxxaxfxfaxaxxaxaxa3、B'00'2(2)(22)(22)(2)limlim2(2)11(2)ln22ln222hhxffhfhffhhfx4、A3003001lim()limsin0()(0)1limlimsin,0xxxxfxxxfxfxx,无穷小量与有界变量相乘无极限5、D分母不为零,定义域不包含0、1、2三、(1)000033353523ln35ln5lim13lim3lim2220ln3ln5333ln3ln5222353533ln3ln22lim0035lim21535limlim2xxxxxxxxxxxxxxxxxxxxxxxxxxeeeeeee03ln35ln53lim35ln3ln5333ln3ln522215xxxxxxeee(2)224302240240403020sisintanlimsintanlimsinsinlimsinsinlimsinlimntancossin1sinlim3xxxxxxxxcosxxxxxxcosxxxxxcosxxxxxcosxxxxcosxxxxxxxxx通分x=提取公因式两个重要的极限:13洛必达发则2222434002402403030sintansintanlimlimsinsinlim1sinsin22lim12sincossin2cos22lim41sin2cos22lim4xxxxxxxxcosxxxxcosxxxxxxxcosxxxxxxxxxxxxxxxx...