级数证明调和级数1/n发散如何证明1/2n和1/(2n-1)也发散?
问题描述:
级数证明调和级数1/n发散如何证明1/2n和1/(2n-1)也发散?
答
“数学之美”团员448755083为你解答!调和级数A = ∑(1/n) = 1 + (1/2) + (1/3) + (1/4) + (1/5) + (1/6) + (1/7) + (1/8) + (1/9) + (1/10) + .显然1/3>1/4 → 1/3 + 1/4 > 1/21/5>1/8 |1/6>1/8 } → 1/5 + 1/6 + 1/...