Hello all,

Strange way to introduce myself, but I didn't want to create a banal intro thread.

I recently took a calc test and there is one specific problem that seems to have multiple answers depending on which university presents it. Out of curiosity I read into this problem in-depth and I think I have arrived at a solution that is mathematically sound (and computationally verifiable for the first thirty five billion iterations), however I don't have anyone to share it with that cares/understands the nature of it.

Wolfram alpha, alongside every other program I know has failed to produce the correct result, or I'm missing something. I was hoping that someone would either prove or disprove my solution. I think it is an interesting problem, however I know math isn't everyone's cup of tea so I apologize in advance for boring some (if not most) of you.

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