summation of sequence

2008-10-11 5:59 am
find the value of √5√5√5...


p.s唔係開方5相x,係開方5內又開方5

回答 (2)

2008-10-11 7:54 am
✔ 最佳答案
√5√5√5.........=5^1/2 X 5^1/4 X 5 ^1/8 X...........5^1/(2^n)
=5^(1/2+1/4+1/8+.+1/2^n)
=5^{(1/2(1/2)^n-1)/(1/2-1)}
=5^(1-1/(2^n))
其實佢係考你識唔識用SUM OF GP

2008-10-11 09:34:31 補充:
A
不過你比既答案唔準
你用計算機玩下就知
2008-10-15 2:23 am
應該係B……

因為當n→∞,1-2^(-n)→1,所以答案係5^1=5
參考: Above


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