03-10-2009, 01:57 PM
Allyson Wrote:1 = 1
{1/1 + 1/1 + 1/1 + ...} = {9/10 +99/100 +999/1000 + ...}
{1/1 - 9/10 + 1/1 - 99/100 + 1/1 - 999/1000 + ...} = 0
{1/10 + 1/10 + 1/1000 + ...} = 0?
Oops, I effed up my sequences... they aren't added they simply are
1 = lim {1,1,1,...} and 1= lim {0,9/10, 99/100, 999/1000,...) if you add them they get infinitly bigger...1+1+1+!... = infinity..sorry for the confusion there, I am an idiot for that one.
You can now however subtract the two correct sequences to get:
1 - 1 = 0
lim {1-0, 1-9/10, 1-99/10,...} = 0.
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