**Question 1:**

The thirteenth century French polymath Nicolas Oresme proved that the harmonic series does not converge. Prove this result.

**Question 2:**

Prove that does not converge.

**Question 3:**

Prove that does not converge.

*Even if you solve these all on your own, you won’t achieve the glory of that French polymath, but you will have “re-discovered” some “elements of truth of analysis” …You can give yourself a pat on the back!*

Cheers,

Nalin Pithwa.

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