| Fractional Infinite Series |
Find the following sum:
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Problem Moderated by: Douglas |
| Problem Solution |
(By the method of partial fractions)
This obviously tunnels:
(1/1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) ...
leaving just 1.
Or, with more vigor:
1 - 1/(n+1)
and the limit of this as n goes to ∞ is 1.
Solution submitted by PdoX
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