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第四大题怎么做?这三个小题要不就不会收敛,要不就不会求通项? 第1页

  

user avatar   a-tuan-14 网友的相关建议: 
      

From the prerequisite, we know

, ,

i.e.

the characteristic equation is

,

hence we can suppose that

According to , , we get

,

thus

hence

For , and It is easy to find

Take logarithm by two sides

From


Consider the function below

,

then, owing to is monotonic as varies, we can easily obtain

Besides, there has

hence is a compression mapping on

therefore, hold only one fixed point which satisfies

thus there exists , and

Take into consideration that , we finally obtain




  

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