求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3!+…n/(n+1)!=1-1/(n+1)!
来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/24 13:37:48
求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3!+…n/(n+1)!=1-1/(n+1)!求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3
求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3!+…n/(n+1)!=1-1/(n+1)!
求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3!+…n/(n+1)!=1-1/(n+1)!
求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3!+…n/(n+1)!=1-1/(n+1)!
1.k/(k+1)!=1/k!-1/(k+1)!
证明:k/(k+1)!=((k+1)-1)/(k+1)!=1/k!-1/(k+1)!
2.n/(n+1)!=1/n!-1/(n+1)!
(n-1)/n!=1/(n-1)!-1/n!
.
2/3!=1/2!-1/3!
1/2!=1/1!-1/2!
以上式子相加,消去式子右边相同的项,得
1/2!+2/3!+…n/(n+1)!=1/1!-1/(n+1)!=1-1/(n+1)!
是不是很简单
呵呵
(1)k/(k+1)!=[(k+1)-1]/(k+1)!=(k+1)/(k+1)! - 1/(k+1)!=1/k!-1/(k+1)!
(2)运用(1)的结论,累加即可
求证:lim1^k+2^k+3^k+4^k+.n^k/n^(k+1)=1/k+1n是正整数,后面的k+1有括号的
求证 ∏3^k/(3^k -1)
求证:Ck^K+Ck^(k+1)+Ck^(k+2)+Ck^(k+3)+...+Ck^(k+n)=C(k+1)^(k+n+1)(组合问题)急!
证明:k/(k+1)!=1/k!-1/(k+1)!
3×k×k-2k-1=-1.k等于
请问1^k+2^k+3^k+.+n^k=?
证明(K/K+1)+{1/(K+1)(K+2)}=(K+1)/K+2
排列组合:A(8)/(k)=k*(k-1)*(k-2)*...*8*7K=?A(8)/(K) 是从k个值里选8个k=14?
数学的增1法n=1.2=2.成立.设n=k时成立:(k+1)(k+2).(k+k)=1*3*...*(2k-1)*2^k.看n=k+1:左边=[(k+1)+1][(k+1)+2]……[(k+1)+(k+1)] =[(k+1)(k+2)……(k+k)](k+1+k)(k+1+k+1)/(k+1) =[1*3*...*(2k-
求证:当K属于正整数时, 10 ^ 1/(k+1) < (k+2)/(k+1) (用高中数学知识)
关于高斯函数的简单问题求证:[x/k]≥x/k-(k-1)/k
sum(k,n)=1^k+2^k+...+n^k 的vb编码
sum(k,n)=1^k+2^k+...+n^k 的vb编码
k(3k的平方-6k+1)=2,问k等于多少
(3k的平方+7k)+(4k的平方-3k+1)=?急用!
化简:k-1/k²-4k+4÷1-k/k²-4的结果是( ) A、2-k/k+2 B、k+2/k-2 C、k+2/2-k D、k-2/k+2
求证:(1)k/(k+1)!=1/k!-1/(k+1)!(2)1/2!+2/3!+…n/(n+1)!=1-1/(n+1)!
求证不论K为何值,一次函数(2K-1)X-(K+3)Y-(K-11)=0的图象恒过一定点