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Science Forum Index » Math - Numerical Analysis Forum » LIMITS
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| Danilo |
 Posted: Tue Mar 20, 2007 2:06 pm |
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Does someone here know how to calculate these limits?
1)lim(n->inf) sum(n=1, inf)(-1)^n/n
2) Suppose 0<=a_1<=a_2<=....<=a_k
lim(n->inf)(a_1^n+a_2^n+....+a_n^k)^1/n
[]'s
D. |
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| Peter L. Montgomery |
| Posted: Tue Mar 20, 2007 8:07 pm |
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In article <27803879.1174435642550.JavaMail.jakarta@nitrogen.mathforum.org> Danilo <danilorj@gmail.com> writes:
Quote: Does someone here know how to calculate these limits?
1)lim(n->inf) sum(n=1, inf)(-1)^n/n
2) Suppose 0<=a_1<=a_2<=....<=a_k
lim(n->inf)(a_1^n+a_2^n+....+a_n^k)^1/n
[]'s
D.
Look back at your calculus book to find which function
has series x + x^2/2 + x^3/3 + x^4/4 + ...
--
44 months after Japan attacked Pearl Harbor, Japan surrendered.
48 months after US attacked Iraq, it's time for the US to surrender.
pmontgom@cwi.nl Microsoft Research and CWI Home: Bellevue, WA |
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| Robert Israel |
| Posted: Tue Mar 20, 2007 9:34 pm |
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Danilo <danilorj@gmail.com> writes:
Quote: Does someone here know how to calculate these limits?
1)lim(n->inf) sum(n=1, inf)(-1)^n/n
2) Suppose 0<=a_1<=a_2<=....<=a_k
lim(n->inf)(a_1^n+a_2^n+....+a_n^k)^1/n
[]'s
D.
You might at least copy the questions correctly.
--
Robert Israel israel@math.MyUniversitysInitials.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada |
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| Kevin G. Rhoads |
| Posted: Wed Mar 21, 2007 3:00 pm |
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Quote: Does someone here know how to
Yes, but we suggest you do your own homework. |
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| Danilo |
| Posted: Thu Mar 22, 2007 1:46 pm |
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