Question: (a) Use 4 to show that if sn is the nth partial sum of the harmonic series, then Sn 1 + 1n n (b)

(a) Use 4 to show that if sn is the nth partial sum of the harmonic series, then
Sn ≤ 1 + 1n n
(b) The harmonic series diverges, but very slowly. Use part (a) to show that the sum of the first million terms is less than 15 and the sum of the first billion terms is less than 22.

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