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Forum index » Science and Technology » Math » Undergraduate
HELP on Infinite Series
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HGL
science forum beginner


Joined: 11 May 2005
Posts: 4

PostPosted: Wed May 11, 2005 8:24 am    Post subject: HELP on Infinite Series Reply with quote

Need help on whether the following series converge or diverge:

SUM,n=1,infinity (e/pi)^n-1

SUM,n=1,infinity n^3e^(-n^3)

SUM,n=1,infinity (n^2+1)/(n^3+1)

Thanks
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Torsten Hennig
science forum Guru Wannabe


Joined: 28 Apr 2005
Posts: 136

PostPosted: Wed May 11, 2005 3:26 pm    Post subject: Re: HELP on Infinite Series Reply with quote

Quote:
Need help on whether the following series converge or >diverge:

SUM,n=1,infinity (e/pi)^n-1
Hint: e/pi < 0.9

SUM,n=1,infinity n^3e^(-n^3)
Hint: e^(-n^3) = 1 / (1+n^3+0.5*n^6+...) < 2/n^6

SUM,n=1,infinity (n^2+1)/(n^3+1)
Hint: (n^2+1)/(n^3+1) >= 1/n

Thanks

Best wishes
Torsten.
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