Challenge Math Challenge - March 2020 (Part II)

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The discussion centers on various mathematical problems and their solutions, including convergence criteria for series, properties of absolutely convergent series, and limits involving binomial coefficients. Participants engage in detailed proofs and justifications, particularly addressing whether using |a_n| < ε as a stopping criterion for summing a convergent series is valid. The complexity of proving that every absolutely convergent series converges is also debated, with some participants providing simplified arguments. Additionally, there are calculations involving limits and properties of sequences, showcasing a range of mathematical techniques and insights. Overall, the thread highlights collaborative problem-solving in advanced mathematics.
  • #51
benorin said:
Nope.

b.) by using Stirling's formula, with accurate remainder terms, i.e. not simply ##\sim##.

is the version that's still unsolved.
 
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  • #52
Oh I totally didn't see the a) and b), my bad.
 

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