Download april26part22012.mw

``

Digits := 20:

a := 5.3231230875035940089

5.3231230875035940089

(1)

a is MRB constant^-1. Then we have the following convergent series.

 

NULL

evalf(sum((-1)^n*(a*n^(1/n)-a), n = 1 .. infinity))

1.0000000000000000000

(2)

``

NULL

NULL

NULL

b := 1.6018434909982361492

1.6018434909982361492

(3)

b is(1-2MRB constant)^-1 and is close to the golden ratio. Then we have the following divergent series.

``

evalf(sum((-1)^n*(-b*n^(1/n)+1), n = 1 .. infinity))

0.54e-20

(4)

evalf(sum((-1)^n*(-b*n^(1/n)-1), n = 1 .. infinity))

1.0000000000000000000

(5)

evalf(sum(-(-1)^n*b*n^(1/n), n = 1 .. infinity))

.50000000000000000001

(6)

``

 

NULL



 

marvinrayburns.com


Please Wait...