Maple equation problem : Limit and Sum at the same time

Question

I need to evaluate
the problem
using the Maple Software.

I did manage to make my equation look like the given by using "Limit(Sum(1/(i^(9/5)), i=1..n),i = infinity);" However, I could not proceed any further as I tried using evalf for result but nothing returned even if I switched the uppercase L and S for limit and sum.

acer · Accepted Answer · 2024-05-31 20:59:39Z

0

Your code is taking,

Limit(..., i = infinity)

but that's a typo. It ought to be,

Limit(..., n = infinity)

limit(sum(1/k^(9/5),k=1..n), n=infinity);

     Zeta(9/5)

evalf(%);

     1.882229618

You could also do that as,

Limit(Sum(1/i^(9/5), i = 1 .. n), n=infinity);
value(%);
evalf(%);

edited May 31, 2024 at 20:59

answered May 31, 2024 at 20:52

acer

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