lim(n→∞) [a^(n+1)-2^(n-1)/a^(n-1)+2^(n+1)如题……另问:数列{an}中,a1=1,Sn是前n项和,当n≥2时,an=3Sn,则lim(n→∞)[Sn+1/S(n+1)-3]的值是?万分感谢T^T
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![lim(n→∞) [a^(n+1)-2^(n-1)/a^(n-1)+2^(n+1)如题……另问:数列{an}中,a1=1,Sn是前n项和,当n≥2时,an=3Sn,则lim(n→∞)[Sn+1/S(n+1)-3]的值是?万分感谢T^T](/uploads/image/z/5437995-51-5.jpg?t=lim%28n%E2%86%92%E2%88%9E%29+%5Ba%5E%28n%2B1%29-2%5E%28n-1%29%2Fa%5E%28n-1%29%2B2%5E%28n%2B1%29%E5%A6%82%E9%A2%98%E2%80%A6%E2%80%A6%E5%8F%A6%E9%97%AE%EF%BC%9A%E6%95%B0%E5%88%97%7Ban%7D%E4%B8%AD%2Ca1%3D1%2CSn%E6%98%AF%E5%89%8Dn%E9%A1%B9%E5%92%8C%2C%E5%BD%93n%E2%89%A52%E6%97%B6%2Can%3D3Sn%2C%E5%88%99lim%28n%E2%86%92%E2%88%9E%29%5BSn%2B1%2FS%28n%2B1%29-3%5D%E7%9A%84%E5%80%BC%E6%98%AF%3F%E4%B8%87%E5%88%86%E6%84%9F%E8%B0%A2T%5ET)
lim(n→∞) [a^(n+1)-2^(n-1)/a^(n-1)+2^(n+1)如题……另问:数列{an}中,a1=1,Sn是前n项和,当n≥2时,an=3Sn,则lim(n→∞)[Sn+1/S(n+1)-3]的值是?万分感谢T^T
lim(n→∞) [a^(n+1)-2^(n-1)/a^(n-1)+2^(n+1)
如题……
另问:数列{an}中,a1=1,Sn是前n项和,当n≥2时,an=3Sn,则lim(n→∞)[Sn+1/S(n+1)-3]的值是?
万分感谢T^T
lim(n→∞) [a^(n+1)-2^(n-1)/a^(n-1)+2^(n+1)如题……另问:数列{an}中,a1=1,Sn是前n项和,当n≥2时,an=3Sn,则lim(n→∞)[Sn+1/S(n+1)-3]的值是?万分感谢T^T
第一题看图
第二题:
a(n+1)-an=3(S(n+1)-Sn)=3a(n+1)
a(n+1)=-1/2*(an)
也就是从第二项起为等比数列
a1=1,所以a2=-3/2
当n→∞
Sn=a1+(Sn-a1)=1+[(-3/2)/(1-(-1/2)]=0
同样S(n+1)=0
lim(n→∞)[Sn+1/S(n+1)-3]=(0+1)/(0-3)=-1/3
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