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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,485

If you meant an expression for the closed form then it is obviously not possible. The sum will either equal a constant or infinity.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

It is possible.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,485

With a variable as the upper index yes. But with an infinity up there the sum is either a constant like 1 / 2 ( just picked as an example ) or ∞.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

It can be an expression in terms of x.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,485

Yes, it could.

**In mathematics, you don't understand things. You just get used to them.**

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**rajinikanth0602****Member**- Registered: 2012-06-30
- Posts: 16

hi bobbym any information about my question

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,485

Hi rajinikanth0602;

By the ratio test:

By the ratio test the series diverges for all values of x.

**In mathematics, you don't understand things. You just get used to them.**

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**rajinikanth0602****Member**- Registered: 2012-06-30
- Posts: 16

i think post reply ''19'' is not correct

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,485

Hi;

Did you see post #32?

i will challenge that i will give 7000 rupees for solving dis problem or any important information about that sequence or range of that sequence

In exchange for the rupees I would like your acknowledgement that the problem has been solved with the proof that is in post#32, or do you require more?

As for post #19. It may be correct, I do not know. Still it is a very nice piece of work by a good man.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

Hi rajinikanth0602

What problems do you see in post #19?

*Last edited by anonimnystefy (2012-09-01 23:06:11)*

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