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This question may use zeta function expansion. watch

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    Name:  QQ20170723-214742@2x.png
Views: 26
Size:  39.1 KBCalculate the limits
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    (Original post by ElliotWalton)
    Name:  QQ20170723-214742@2x.png
Views: 26
Size:  39.1 KBCalculate the limits
    How have you come across this? Are you aware of the Laurent expansion of the zeta function centred at 1?
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    (Original post by RichE)
    How have you come across this? Are you aware of the Laurent expansion of the zeta function centred at 1?
    So How to calculate it?
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    (Original post by ElliotWalton)
    So How to calculate it?
    Is that a yes or a no?
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    (Original post by RichE)
    Is that a yes or a no?
    To be honest,I have no ideas
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    (Original post by RichE)
    Is that a yes or a no?
    I tried to used substitution but it does not work out
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    (Original post by ElliotWalton)
    I tried to used substitution but it does not work out
    If it makes sense, then you mind find equation (1) from

    https://projecteuclid.org/download/p...tjm/1270133547

    helpful
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    (Original post by ElliotWalton)
    I tried to used substitution but it does not work out
    Actually thinking further, that link is likely overkill as the answer is Euler's constant - have you come across that?
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    (Original post by RichE)
    Actually thinking further, that link is likely overkill as the answer is Euler's constant - have you come acroos that?
    Yes,i use mma to get the answer. It is Eular constant.But i still believed it could be solved by zeta function.
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    (Original post by ElliotWalton)
    Yes,i use mma to get the answer. It is Eular constant.But i still believed it could be solved by zeta function.
    Well that limit is the constant coefficient in the Laurent expansion of the zeta function centred at 1. Does that help?
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    (Original post by RichE)
    Well that limit is the constant coefficient in the Laurent expansion of the zeta function centred at 1. Does that help?
    I still can not get a specific thought
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    (Original post by ElliotWalton)
    I still can not get a specific thought
    It's very hard to help, when you've not shared anything about how you met this limit or the extent of your mathematical background. I don't at the moment even know whether you know what a Laurent expansion is.
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    (Original post by RichE)
    It's very hard to help, when you've not shared anything about how you met this limit or the extent of your mathematical background. I don't at the moment even know whether you know what a Laurent expansion is.
    Do you have idea using Zeta function to get the limits?
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    (Original post by ElliotWalton)
    Do you have idea using Zeta function to get the limits?
    See post 10
 
 
 
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