Đáp án + Giải thích các bước giải:
`S=1-1/2+1/3-1/4+...+1/99-1/100+1/101`
`S=(1+1/3+...+1/99+1/101)-(1/2+1/4+...+1/100)`
`S=(1+1/2+...+1/99+1/101)-2.(1/2+1/4+...+1/100)`
`S=(1+1/2+...+1/99+1/101)-(1+1/2+...+1/50)`
`S=1/51+1/52+...+1/100+1/101=P`
`=> (S-P)^2014=0^2014=0`