Limit question

  1. I have a question:

    what is lim (n--->infinity)= 1/(3+(-1)^n))? My opinion that this limit does not exist.
  2. jcsd
  3. arildno

    arildno 12,015
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    "Do not opine, PROVE!"

    Apocryphal quote from Euclid. :smile:
  4. CRGreathouse

    CRGreathouse 3,682
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    Are you asking about
    perhaps? The equals sign in your post is confusing me. If so, are you familiar with the lim sup and lim inf? That would give you an easy direct proof: if lim sup = lim inf, that's the limit; otherwise, the limit does not exist.
  5. i have dealt with sup but not with inf but i will look them up. Thx anyway.
  6. manooch

    if n∈Z (Z=Integer) then we have two answer for equation

    1) if n=Even then answer=1/4

    2) if n=Odd then answer=1/2

    if n∈R (R=Real) then equation is undefined

    for example: (-1)^1/2 does not exist.:smile:
  7. It certainly does, it just isn't real.
  8. thank you for help me
  9. thank you for conduce:tongue:

    Accordingly this sequence isn't convergent:smile:
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