Question: Previous Exercise: C-3.12 Without using calculus (as in the previous exercise), show that, if n is a power of 2 greater than 1, then, for

 Previous Exercise: C-3.12 Without using calculus (as in the previous exercise),

Previous Exercise:

show that, if n is a power of 2 greater than 1,

C-3.12 Without using calculus (as in the previous exercise), show that, if n is a power of 2 greater than 1, then, for Hn, the nth harmonic number, Use this fact to conclude that Hn-1 + ], for any n > 1. C-3.11 (For readers familiar with calculus): Use the fact that, for a decreasing integrable function, f., b+1 ob f(x)dx f(i) | ,f(x)dx, 2 to show that, for the nth harmonic number, Hns Inn H s 1+Inn

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