高数双语测试题2

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1、Test2Date___________Class___________Name___________Score__________Choosethebestanswerforeachquestion.(2*50=100pts.)1.Ifthelinetangenttothegraphofthefunctionf(x)atthepoint(1,7)passesthroughthepoint(2,2)，thenf(1)().(A)5(B)1(C)3(D)72.Iff(x)iscontinuousatthepointxa,whichofthefollowin

2、gstatementsmaybefalse?()(A)f(a)isdefined(B)limf(x)=f(a)(C)limf(x)exists(D)f(a)existsxaxaf(x)f(0)3.Supposelim=1.Itfollowsnecessarilythat（）.x0x(A)limf(x)=1(B)f(0)1(C)f(1)0(D)f(0)1x0f(x)f(2)4.Iflim=0,whichofthefollowingmustbetrue?（）.x2x2(A)f(2)isnotdefined(B)limf(x)=0(C)f(2

3、)0(D)f(2)0x2100(1h)15.lim().h0h(A)100(B)1(C)99(D)012h6.limln().h0h221(A)e(B)1(C)(D)027.Iff(x)=2

4、x3

5、forallx,thenf(3)is().(A)1(B)1(C)3(D)nonexistentx,x08.

6、x

7、is()atx=0.x,x0(A)continuousandderivativable(B)discontinuousbutderivativable(C)discontinuous(D)continuous

8、butunderivativable1xsin,x09.fxxis()atx=0.0,x0(A)continuousandderivativable(B)discontinuousbutderivativable(C)discontinuous(D)continuousbutunderivativable21xsin,x010.fxxis()atx=0.0,x0(A)continuousandderivativable(B)discontinuousbutderivativable(C)discontinuous(D)cont

9、inuousbutunderivativable11.Thegraphofthefunctionf(x)isshownbelow.Whichofthefollowingstatementsmustbefalse?()(A)f(a)exists(B)f(x)isnotcontinuousatxa(C)limf(x)exists(D)f(a)existsxaIfyouhavefoundanymistakesinTest2,pleasereportthemtoyourMathteacher!1Test2Date___________Class___________N

10、ame___________Score__________f(xh)f(xh)0012.Supposef(x)exist，thenlim=（）.P1092(2)0h0hA0B2f(x0)C2f(x0)Df(x0)13.(ln

11、x

12、)=(),(x0).1111(A)(B)(C)(D)22xxxx14.Iff(x)isdifferentiableatx0suchthatf(0)0andf(0)1,thenf(2x)f(3x)lim=（）.x0x(A)0(B)1(C)3(D)515.Supposethatthefunction(x)is

13、continuousatxa,andf(x)(xa)(x)，then().(A)f(x)(x)(B)f(x)(x)(xa)(x)(C)f(a)(a)(D)f(a)(a)P111-10.16.Continuityofthefunctionf(x)atxisthe（）conditionforitsderivableatx.00(A)necessary(B)necessaryandsufficient(C)sufficient(D)unnecessarybutsufficientP10517.Differentiableoft