1.（-3)^2n(1/3)^2n-1-2(-1)^2n-1

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/25 03:41:07

1.（-3)^2n*(1/3)^2n-1-2*(-1)^2n-1
2.(1-1/2^2)(1-1/3^2)...(1-1/2004^2)(1-1/2005^2)
3.如果测量一根竹竿长约是1.56米,那么它的实际长度范围是多少?
设实际长度为X
1.555

1.（-3)^2n*(1/3)^2n-1-2*(-1)^2n-1
=(-1)^2n-1-2*(-1)
=1-1+2
=2
2.(1-1/2^2)(1-1/3^2)...(1-1/2004^2)(1-1/2005^2)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/2004)(1+1/2004)(1-1/2005)(1+1/2005)
=1/2*3/2*2/3*4/3*………*2003/2004*2005/2004*2004/2005*2006/2005
=1/2*2006/2005
=1003/2005
3.如果测量一根竹竿长约是1.56米,那么它的实际长度范围是多少?
设实际长度为X
1.555

证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n [3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简化简(n+1)(n+2)(n+3) 2^n/n*(n+1) 计算：n(n+1)(n+2)(n+3)+1 lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 (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*(n + 1) + n*n + (n + 1) + 1 = 2n^2 + 3n + 3 化简：1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4) (n+1)(n+2)/1 +(n+2)(n+3)/1 +(n+3)(n+4)/1 证明(1+2/n)^n>5-2/n（n属于N+,n>=3)