1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/3n 极限题目后面的提示是∞+有界=∞,但我怎么看这个数列都不像是趋于无穷大
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![1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/3n 极限题目后面的提示是∞+有界=∞,但我怎么看这个数列都不像是趋于无穷大](/uploads/image/z/6763083-51-3.jpg?t=1%2F%28n%2B1%29%2B1%2F%28n%2B2%29%2B1%2F%28n%2B3%29%2B+%E2%80%A6%E2%80%A6%2B1%2F3n+%E6%9E%81%E9%99%90%E9%A2%98%E7%9B%AE%E5%90%8E%E9%9D%A2%E7%9A%84%E6%8F%90%E7%A4%BA%E6%98%AF%E2%88%9E%2B%E6%9C%89%E7%95%8C%3D%E2%88%9E%EF%BC%8C%E4%BD%86%E6%88%91%E6%80%8E%E4%B9%88%E7%9C%8B%E8%BF%99%E4%B8%AA%E6%95%B0%E5%88%97%E9%83%BD%E4%B8%8D%E5%83%8F%E6%98%AF%E8%B6%8B%E4%BA%8E%E6%97%A0%E7%A9%B7%E5%A4%A7)
1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/3n 极限题目后面的提示是∞+有界=∞,但我怎么看这个数列都不像是趋于无穷大
1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/3n 极限
题目后面的提示是∞+有界=∞,但我怎么看这个数列都不像是趋于无穷大
1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/3n 极限题目后面的提示是∞+有界=∞,但我怎么看这个数列都不像是趋于无穷大
用定积分解答如下:
1+1/2+....+1/n=ln(n+1) +r
1+1/2+....+1/3n=ln(3n+1) +r
lim原式=lim(ln(3n+1) -ln(n+1)) =lim(ln3+ln(n+1/3)-ln(n+1))=ln3
2^n/n*(n+1)
证明不等式:(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
(n+2)!/(n+1)!
n^(n+1/n)/(n+1/n)^n
[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
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
f(x)=e^x-x 求证(1/n)^n+(2/n)^n+...+(n/n)^n
(n+1)^n-(n-1)^n=?
化简:(n+1)!/n!-n!/(n-1)!
(n-1)*n!+(n-1)!*n
推导 n*n!=(n+1)!-n!
化简(n+1)(n+2)(n+3)
n*【n+1】*【n+2】化简成什么?
2n/(n+1)n!
n(n+1)(n+2)等于多少?
n+(n-1)÷2×n 求化简