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cherrilyn

  • 5 years ago

Determine the limit of the sequence..

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  1. cherrilyn
    • 5 years ago
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    \[b _{n} = 3n+1/2n+4 \] using the Theorem \[\lim_{n \rightarrow \infty} a _{n} = \lim_{x \rightarrow \infty} f(x)\]

  2. anonymous
    • 5 years ago
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    infinity

  3. anonymous
    • 5 years ago
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    is it (3n+1)/2n + 4??

  4. anonymous
    • 5 years ago
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    if it is then the answer is 5.5

  5. anonymous
    • 5 years ago
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    or is it (3n+1)/(2n+4) if it is that the answer is 3/2

  6. anonymous
    • 5 years ago
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    choose...

  7. anonymous
    • 5 years ago
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    I would put money on it being the second one

  8. cherrilyn
    • 5 years ago
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    no parenthesis

  9. anonymous
    • 5 years ago
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    none anywhere? then its infinity

  10. cherrilyn
    • 5 years ago
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    even by using the theorem?

  11. anonymous
    • 5 years ago
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    ive used the theorem

  12. cherrilyn
    • 5 years ago
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    hmm okay . what about \[b_{n} = (-1)^{2n+1}\]

  13. cherrilyn
    • 5 years ago
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    ..-1^infty

  14. anonymous
    • 5 years ago
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    = - 1 x (-1)^2n

  15. anonymous
    • 5 years ago
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    =-1 for all n

  16. anonymous
    • 5 years ago
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    yeah

  17. anonymous
    • 5 years ago
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    raising anything to a even power is positive

  18. cherrilyn
    • 5 years ago
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    isn't it odd?

  19. anonymous
    • 5 years ago
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    well, should be "for all integer n's"

  20. anonymous
    • 5 years ago
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    no, (2n) is an even number

  21. cherrilyn
    • 5 years ago
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    oh.. so you disregard the 1 ?

  22. anonymous
    • 5 years ago
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    no :|

  23. anonymous
    • 5 years ago
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    x^(a+b) = (x^a)(x^b)

  24. anonymous
    • 5 years ago
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    so \[(-1)^{2n+1} = (-1)^{2n} (-1)^1 = - (-1)^{2n}\]

  25. anonymous
    • 5 years ago
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    and -1 to an even integer power is +1so (-1) x (1) = -1

  26. cherrilyn
    • 5 years ago
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    ahhhhhhh. thank you!

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