An Asymptotic Formula for (1 + 1/x)x Based on the Partition Function
Chao-Ping Chen, Junesang Choi
Abstract
Chao-Ping Chen, Junesang Choi
Abstract
We present a method to produce estimations of the natural logarithmic constant e, accurate to as many decimal places as we desire. The method is based on an asymptotic formula for (1 + 1/x)x, which uses the partition function.
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We present a method to produce estimations of the natural logarithmic constant e, accurate to as many decimal places as we desire. The method is based on an asymptotic formula for (1 + 1/x)x, which uses the partition function.
Key concepts: Mathematics, Bachelor, Logarithm, Partition function (quantum field theory), Partition (number theory), Combinatorics, Discrete mathematics, Physics