大一高数题,数列极限用定义证明:(1).lim3n+1/2n+1(n趋向于无穷)=3/2;(2)lim0.999…9}n个9(n趋向于无穷)=1

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大一高数题,数列极限用定义证明:(1).lim3n+1/2n+1(n趋向于无穷)=3/2;(2)lim0.999…9}n个9(n趋向于无穷)=1

大一高数题,数列极限用定义证明:(1).lim3n+1/2n+1(n趋向于无穷)=3/2;(2)lim0.999…9}n个9(n趋向于无穷)=1
大一高数题,
数列极限用定义证明:(1).lim3n+1/2n+1(n趋向于无穷)=3/2;(2)lim0.999…9}n个9(n趋向于无穷)=1

大一高数题,数列极限用定义证明:(1).lim3n+1/2n+1(n趋向于无穷)=3/2;(2)lim0.999…9}n个9(n趋向于无穷)=1
(1)
任取一个正数ε
令|(3n+1)/(2n+1)-3/2|=1/2(2n+1)