Răspuns:
Explicație pas cu pas:
Suma:
1/1 -1/2 + 1/2-1/3 + 1/3-1/4 +...+1/99-1/100 =
1 -1/100 = 99/100
1/2 < 99/100 < 1 evident
b) Suma:
2(1/2(1/1-1/3) + 1/2(1/3-1/5) +1/2(1/5-1/7) +...+1/2(1/00 -1/101) =
2*1/2(1 -1/101) = 100/101
2/5 < 100/101 < 1 evident
