求無窮等比級數1/(2^0.5+1)+1(2+2^0.5)+1/(8^0.5+2)+.......?
回答 (2)
首項 a = √2 -1
第二項 b = (2-√2)/2
公比 r = b/a = √2 / 2
S = a/(1-r) = (√2-1)/[1-(√2/2)] =√2
收錄日期: 2021-04-11 22:21:32
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