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Daily Maths Challenges

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[2024/05/16] Infinite multiplication series

Show that the infinite multiplication (1+1/1)(1+1/2)(1+1/3)... does not converge.

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Share your cool maths problems.

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Post your solution in comments, if it is exactly the same as OP's solution, let us know.
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Post a challenge:

Doesn't have to be original, as long as it is not a duplicate.
Challenges not riddles, if the post is longer than 3 paragraphs, reconsider yourself.
Optionally include solution in comments, let it be clear this is not a homework help forums.
Tag [unsolved] if you don't have a solution yet.
Please include images, if your question includes complex symbols, attach a render of the maths.

Feel free to contribute to a series by DMing the OP, or start your own challenge series.

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i added the solution to the post, i didnt see the multiplication before someone mentioned it, but yeah if we put it to the power of e it will telescope again, which is clearly the main character of this sub at this point (jk)