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For which positive real numbers a does the series converge 
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#19
Feb112, 09:24 AM

P: 61

if r>1 which would make p=r, what values for a would make log(a) negative?



#20
Feb112, 09:30 AM

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#21
Feb112, 09:49 AM

P: 61

so 1<a<1 a=/0,
say y=log(a) then the inverse is a=e^y ? 


#22
Feb112, 10:00 AM

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#23
Feb112, 10:05 AM

P: 61

so a<e^1= a<0.367879441?



#24
Feb112, 10:08 AM

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#25
Feb112, 10:08 AM

P: 61

so sum n=1 to infinity of a^log(n) converges when 0<a<0.3678...



#26
Feb112, 10:18 AM

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#27
Feb112, 10:20 AM

P: 61

ok, brilliant. thanks for all your help, much appreciated



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