2015年中科院考研真题数学分析.pdf
S S “d S 2001 M V 3 k5 I k S “ s I k 331 : V U/S B . (16s ) (1)X : c p : lim(1+x)(c/x)“ t(ct)dt, c. x0 - (2) ! x# 0 O x1, 5 : (ln x)/(x-1)! x(-1/2) = . (12s ) f(x)“ 1/x a,+) ( a0) B , g(x)=sin(1/x) (0,1) B . . (12s ) p w (x2+y2+z2)3“ (a3)xyz (a# 0) 88 . . (12s ) ! a b i , i O ab, ! a“ (2ab)/(a+b), b“ (ab)(1/2), (n=2,3,.) p : a,a,. b,b,. ( l i O MK . . (12s ) ! V (x2/a2)+(y2/b2)+(z2/c2)“ 1 M US u8 p VKl . B . (12s ) ! f Lf , i O x, f(x)0, ! f(x)dx! 0 p : n (1/n)xf(x)dx (n) 0 . (12s ) b b T,r,. i k L , ki k L x,x,., P : lim(f(x+r)-f(x)“ 0 n