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Results tagged with limits-and-convergence
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user 127690
Convergence of series, sequences and functions and different modes of convergence.
37
votes
Accepted
Is it known that the Collatz-like sequence with 7n+1 diverges to infinity starting with 7?
It is a standard conjecture that if one replaces the 3 in the Collatz function with some fixed $k>3$, then it will have sequences which go to infinity. And in fact, these seem to occur at very small v …
- 6,969
2
votes
Accepted
A problem inspired in the definition of tau numbers and a divisibility relationship related ...
If I'm understanding your problem correctly, your sum diverges and does so very rapidly. Every positive integer of the form $2^7p$ for an odd prime $p$ is a rad-refactorable number, so your sum is bou …
- 6,969