1.(-3)^2n*(1/3)^2n-1-2*(-1)^2n-1
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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
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
=(-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)