解①I=lim 十∴十 n→0 2 n 1+-1 1+ i=11十 n =m(+x)b=m2 ②I= lim -.In( n->0n =lim(In -) n→00 In xdx=-1 0解 ① ] 1 1 2 1 1 1 1 1 lim[ n n n n I n + + + + + + = →  n n i n i n 1 1 1 lim 1  + = = → 1 0 1 0 ln(1 ) 1 1 dx x x = + + =  = ln2 ② ) 1 2 ln( 1 lim n n n n n I n =    → n n i n i n 1 lim( ln ) 1 =   = →  = = − 1 0 ln xdx 1