计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)急~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 04:17:38
![计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)急~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~](/uploads/image/z/334718-62-8.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%881%2B1%2F1%C3%973%EF%BC%89%281%2B1%2F2%C3%974%29%281%2B1%2F3%C3%975%29%E2%80%A6%E2%80%A6%281%2B1%2F2006%C3%972008%29%281%2B1%2F2007%C3%972009%29%E6%80%A5%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E)
计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)急~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)
急~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)急~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)
=(2×3×4×……×2008)²/(1×2×3×……2009)
=1/2009
(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)
=(2×3×4×……×2008)²/(1×2×3×……2009)
=2×3×4×……×2008/2009(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)
=(2×3×4×……×...
全部展开
(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)
=(2×3×4×……×2008)²/(1×2×3×……2009)
=2×3×4×……×2008/2009(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009)
=(2×3×4×……×2008)²/(1×2×3×……2009)
=2×3×4×……×2008/2009 1/1×3 你的意思是1/(1*3)的话就是,否则就是上面说的答案
极限是2,这道题为1.999004公式:1+(1/n)*(n+2) n=2007 若是相乘得,2^2007[1+(1/2007)^2007]
收起
1/1×3 你的意思是1/(1*3)的话就是,否则就是上面说的答案
极限是2,这道题为1.999004
main()
{
double s=1,a;
long i;
for(i=1;i<=2007;i++)
{a=1+1.0/(i*(i+2));
s*=a;
}
printf( "%lf",s);
}
公式:1+(1/n)*(n+2) n=2007 若是相乘得,2^2007[1+(1/2007)^2007] 若是相加得4016