极限练习(基础题)

11.)(lim)(lim00xfxfxxxx)(xf0x2.0x2sinxxx3.)(xf0x)(lim)(lim00xfxfxxxx4.21sin,0()0,0xxfxxx0x5.1x122xxy6.()sinfxx7.0xx)1ln(2x8.)(lim0xfxx)(xf0x9.xyxy10.21sinlim0xxxx11.01limsin1xxx12.22lim(1)xxex13.11,0,,0,,0,481214.0x11xx~x15.1()cosfxxxx16.sinlim1xxx17.18.ln(1)x~x19.1limsin1xxx20.0tanlim1xxx.2145127lim224xxxxxA1B0CD312hxhx220h)(lim=()A.2xB.hC.0D.32332lim22xxxxxAB32C0D142113lim2433nnnnnAB43C0D15232,0()2,0xxfxxx0lim()xfx()(A)2(B)0(C)1(D)26)(lim,0101)(02xfxxxexfxx()(A)1(B)0(C)1(D)7)(lim,01020)(02xfxxxxxxfx()(A)2(B)0(C)1(D)8)(lim,11)(1xfxxxfxA0B1C1D91limcosxxxA.0B.1C.D.101limsinxxxA.0B.1C.D.11()A.11sinlimxxxB.11sinlim0xxxC.1sinlimxxxD.12sinlim0xxx12xmxxsinlim0(m)()A.0B.1C.m1D.m13nnnx2sin2lim()A.0B.1C.x1D.x14)2(2sinlim0xxxxA.1B.0C.D.x3152xtan3xlim0xA.B.23C.0D.116xxx)21(limA.e-2B.e-1C.e2D.e1722,()1,1,fxxx11001xxx1lim()xfx0lim()xfx()(A)(B)(C)(D)18n1sinnn()(A)(B)(C)(D)191x()(A)113x(B)112xx(C)x1(D)112xx20()12xfx11xx()(A)(,1)(B)(1,)(C)(,1)(1,)(D)(,)2100001)(2xxxxxxf()(A)(B)00(C)]0(D)0221,0()1,0xfxx0x()(A)(B)(C)(D)23()fx0xx()fx0xx()(A)(B)(C)(D)24f(x)=0x,a0x,)x1(x1f(x)x=0a=A.0B.1C.e1D.e42500sin)(xaxxxxfx=0a=A.0B.1C.2D.3260011)(xkxxxxxf0xk()A.0B.1C.21D.2270024)(xkxxxxf0xk()A.0B.41C.21D.2281,13,1xxyxx1xA.B.C.D.29,0001)(2xxxexfx()(A)1)(xf(B)2)(xf(C)3)(xf(D))(xf30434)(2xxxxf()A.0B.1C.2D.310limhxhxh___________2711lim1xxx______31253lim22nnnn=_______4sinlimxxx_______5xxxxsinlim____________6)sin()(limxaaxax7xxx3sinlim0.82lim(1)xxx________59]ln)2[ln(limxxxx_________100ln(13)limsin3xxx_________11,14lim231xaxxxxa______120x1cosxx______130xsin2xaxa______140x42x93x______.15922xxy_______161121,0()0,0xexfxx0x________17sin2,0(),0xxfxxaxa_________18,0()ln(1),0axxfxxx0xa192,2,242xaxxxy2xa20f(x)=010sinxexaxxx=0a=_____________.1(1)11lim22nnnn(2)64lim222xxxx(3)11lim21xxx(4)xxxxcos1sinlim0(5)512lim43xxxx(6)xxxx1lim26(7))1312(lim321xxx(8)xx)x1x1(lim22131lim1xxxx322312lim4xxx42121lim()11xxx53813lim2xxx62111lim()222nn720cos1lim2xxx80sin(sin)limxxx9xxx3tantanlim01020cos1limxxx11nnn)21(lim12121lim()21xxxx13xxx10)41(lim142)211(limxxx1522lim(1)nnn716lim()1xxxx1721002lim(1)xxx1821lim()1xxxx192lim()3xxxx20123lim()6xxxx21302010152312limxxxx22112525limnnnnn23nnnnn22212111lim24)(xf2x232,2(),xxxfxa22xxa251111)()0(3xxxff0x826.10135xx1222xex02.27xf[02a]aff20[0a]aff.2823xx1.29xfxg[ab]bgbfagaf,bac,cgcf.