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Math Help - convergence of sequence

  1. #1
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    convergence of sequence

    I got this question as homework,please help me with it as I'm struggling with it.

    Give an example of a sequence (an) such that an>5 for all n belongs to N with (an) converging to 5.

    I'm asked to not only give example,but also need to write detailed explanation,please help me,I don't know how to do it.Thanks a lot.
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  2. #2
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    Quote Originally Posted by tsang View Post
    Give an example of a sequence (an) such that an>5 for all n belongs to N with (an) converging to 5.
    We are not supposed to knowingly help you with homework or anything else that counts towards a grade. However, I'd like you to clarify what "n belongs to N" means. Does it mean that a_n is an integer for all n?
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  3. #3
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    Quote Originally Posted by Vlasev View Post
    We are not supposed to knowingly help you with homework or anything else that counts towards a grade. However, I'd like you to clarify what "n belongs to N" means. Does it mean that a_n is an integer for all n?
    sorry that I just didn't know the code for the symbol, "n belongs to N" just to say that a1,a2,a3,a4....
    Also, it is just my homework practice, I'm a very honest person, it is only for homework practice, nothing will count towards grade of course.
    I simply just started Real Analysis study,and so I asked teacher for a lot questions for me to practice,I simply call it homework.
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  4. #4
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    Hi,
    for example : a_n=5+\frac{1}{n}
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