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Question: How to get maple to evaluate divergent series

Question:How to get maple to evaluate divergent series

Adam Ledger 360 Maple
infinity series
April 27 2018
0

Series 2:Hi i was wondering if someone could explain how i can get series like this to evaluate to infinity, or a float placeholder for i mean.

Series 1:Any then also explain the mathematics as to how the this series converges to a negative limit please.

> 

seq(evalf[10](eval(sum(2^n*floor(2^n), n = 1 .. N), [N = 10^k])), k = 1 .. 3)

1398100., 0.2142584059e61, 0.1530840927e603

 (1)
> 

evalf[10](sum(2^n*floor(2^n), n = 1 .. infinity))

-1.333333333

 (2)
> 

``


 

Download WHY_NO_EVAL.mw


 

> 

seq(evalf[10](eval(sum(5^(n-1)*floor((1/4)*5^n), n = 1 .. N), [N = 10^k])), k = 1 .. 3)

0.4967053121e13, 0.3241153791e139, 0.4536359279e1397

 (1)
> 

evalf[10](sum(5^(n-1)*floor((1/4)*5^n), n = 1 .. infinity))

sum(5^(n-1)*floor((1/4)*5^n), n = 1 .. infinity)

 (2)
> 

``


 

Download WHY_NO_EVAL.mw
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