求f+2f+1/2f+3f+1/3f+4f+1/4f+.nf的值
问题描述:
求f+2f+1/2f+3f+1/3f+4f+1/4f+.nf的值
答
利用最著名的是“欧拉公式”:1+1/2+1/3+……+1/n=ln(n)+C.(C=0.5772……叫做欧拉常数,ln(n)是以e=2.71828……为底数的n的对数——自然对数).所以,f+2f+1/2f+3f+1/3f+4f+1/4f+.nf=f(2+ln(n)+C) ( C=0.5772……叫做...