Tính B=1/x(x+2)+1/(x+2)(x+4)+1/(x+4)(x+6)+....+1/(x+2018)(x+2020)
Giải thích
B=1x(x+2)+1(x+2)(x+4)+1(x+4)(x+6)+...+1(x+2018)(x+2020)2B=2x(x+2)+2(x+2)(x+4)+2(x+4)(x+6)+...+2(x+2018)(x+2020)2B=1x−1x+2+1x+2−1x+4+...+1x+2018−1x+20202B=1x−1x+20202B=2020x(x+2020)B=1010x(x+2020)
Vậy B=1010x(x+2020)