问题
选择题
若(1+5x)n的展开式中各项系数之和为an,(7x2+1)n的展开式中各项的二项式系数之和为bn,则
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答案
由题意可得 an=6n,bn=2n,则lim n→∞
=an-2bn 3an+4bn lim n→∞
=6n-2×2n 3×6n+4×2n lim n→∞
=1-2×(
)n1 3 3+4×(
)n1 3
=1-0 3+0
,1 3
故选A.
若(1+5x)n的展开式中各项系数之和为an,(7x2+1)n的展开式中各项的二项式系数之和为bn,则
|
由题意可得 an=6n,bn=2n,则lim n→∞
=an-2bn 3an+4bn lim n→∞
=6n-2×2n 3×6n+4×2n lim n→∞
=1-2×(
)n1 3 3+4×(
)n1 3
=1-0 3+0
,1 3
故选A.