求lim(-1+3^n)/2^(n+1)的极限(N趋向正无穷)
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求lim(-1+3^n)/2^(n+1)的极限(N趋向正无穷)
求lim(-1+3^n)/2^(n+1)的极限(N趋向正无穷)
求lim(-1+3^n)/2^(n+1)的极限(N趋向正无穷)
lim(-1+3^n)/2^(n+1)
=lim[(-1/3^n)+1/[(2/3)^n*2]
当n趋向正无穷时
3^n趋向正无穷
所以-1/3^n趋向负无穷小
而(2/3)^n趋向正无穷小
所以
分子是1+负无穷小
分母是正无穷小
所以
lim(-1+3^n)/2^(n+1)[n趋向正无穷] 趋向正无穷
极限为无穷大
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