13/03/27 21:04:13.26
>>340
1/(1+x) = 1-x+x^2-x^3+x^4-…
∫[0,1] 1/(1+x) dx = ∫[0,1]1-x+x^2-x^3+x^4-…dx
log(1+x)|_[x=0,1] = x-x^2/2+x^3/3-x^4/4+x^5/5…|_[x=0,1]
log2 = 1-1/2+1/3-1/4+…
大雑把だけどこんな感じ
13/03/27 21:04:13.26
>>340
1/(1+x) = 1-x+x^2-x^3+x^4-…
∫[0,1] 1/(1+x) dx = ∫[0,1]1-x+x^2-x^3+x^4-…dx
log(1+x)|_[x=0,1] = x-x^2/2+x^3/3-x^4/4+x^5/5…|_[x=0,1]
log2 = 1-1/2+1/3-1/4+…
大雑把だけどこんな感じ