已知A=n-1/2,B=3√n-2(n为正整数).当n≤5时,有A＜B；请用计算器计算当n≥6时,A,B的若干个值
已知A=n-1/2,B=3√n-2(n为正整数).当n≤5时,有A＜B；请用计算器计算当n≥6时,A,B的若干个值
并由此归纳出当n≥6时,A,B间的大小关系如何
并由此归纳出当n≥6时,A,B间的大小关系如何
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n=1:5
n =
[ 1.00000000000000 2.00000000000000 3.00000000000000 4.00000000000000 5.00000000000000 ]
a=n-1/2
a =
[ 0.50000000000000 1.50000000000000 2.50000000000000 3.50000000000000 4.50000000000000 ]
b=3*n^0.5-2
b =
[ 1.00000000000000 2.24264068711929 3.19615242270663 4.00000000000000 4.70820393249937 ]
n =
[ 1.00000000000000 2.00000000000000 3.00000000000000 4.00000000000000 5.00000000000000 ]
a=n-1/2
a =
[ 0.50000000000000 1.50000000000000 2.50000000000000 3.50000000000000 4.50000000000000 ]
b=3*n^0.5-2
b =
[ 1.00000000000000 2.24264068711929 3.19615242270663 4.00000000000000 4.70820393249937 ]
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