1^2+2^2+3^2+…+(2n)^2=1/3n(2n+1)(4n+1) 用数学归纳法证明.
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证明不等式:(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
2^n/n*(n+1)
[3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简
[3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简
(1/(n^2 n 1 ) 2/(n^2 n 2) 3/(n^2 n 3) ……n/(n^2 n n)) 当N越于无穷大的极限(1/(n^2+n+1 ) +2/(n^2+n+2) +3/(n^2+n+3) ……n/(n^2+n+n)) 当N越于无穷大的极限
化简n分之n-1+n分之n-2+n分之n-3+.+n分之1
化简n分之n-1+n分之n-2+n分之n-3+.+n分之1
化简(n+1)(n+2)(n+3)
当n为正偶数,求证n/(n-1)+n(n-2)/(n-1)(n-3)+...+n(n-2).2/(n-1)(n-3)...1=n
1+(n+2)+(2n+3)+(3n+4)+(4n+5)+……((n-1)n+n)的答案
{[(1+n)(2+n)(3+n)……(n+n)]^(1/n)}/n当趋向正无穷 求其极限
e^(1/n)+e^(2/n)+e^(3/n)+…+e^(n-1/n)+e^(n/n)=?
lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
(n+2)!/(n+1)!
证明:(3^n)*(2^1/n)>(3^n)+(2^1/n)……n属于正整数
3(n-1)(n+3)-2(n-5)(n-2)
证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)
设f(n)=1/n+1+1/n+2+1/n+3+……+1/3n(n∈N+),则f(n+1)-f(n)=?