Question

设M=1+根号2分之1+根号2+根号3分之1+根号3+根号4分之1+.+根号2011+根号2012,N=1-2+3-4+

Answer 1

N=-1006,

M=∑(√(k+1)-√k) ,k=1,2,...,2011.

=√2012-1

N/(M+1)² = -1006/2012 = -0.5