高中指數對數數學題求詳解?

2016-10-25 7:33 am

回答 (1)

2016-10-25 8:17 am
✔ 最佳答案
Sol
Σ(k=1 to 9999)_log[(k+1)/k]
=Σ(k=1 to 9999)_[log(k+1)-logk]
=Σ(k=1 to 9999)_log(k+1)-Σ(k=1 to 9999)_logk
=(log2+log3+log4+…+log9999+log10000)-(log1+log2+log3+log9998+log9999)
=log1000-log1
=3-0
=3


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