Let $X=\{x|x=1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n}, n\in \mathbb{N}\}$. Find $X \cap \mathbb{N}$

Question

I am out of hints here. Its trivial to show $1$ is a solution. How to show it's the only solution?

Can someone please give me some hints?

Please do not use congruence, limits or derivatives because they are out of scope of the chapter which has this question.

score -1 · Answer 1 · answered Nov 12 '15 at 13:34

-1

answered Nov 12 '15 at 13:34

Adhvaitha

6

Much better to write a self-contained answer here. – Simon S Nov 12 '15 at 13:36
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@SimonS not true, but still, this should rather be a comment, not an answer. – Gabriel Romon Nov 12 '15 at 13:37
@SimonS You can access the link without dropbox account. – Adhvaitha Nov 12 '15 at 13:37
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@Simon No, you dont need to have an account. just close the box which asks for login details. – GA316 Nov 12 '15 at 13:37
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(Yes, ok. The first time I tried to access the link it asked for an account. But now it does not.) – Simon S Nov 12 '15 at 13:38

1 Answers1