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bahrom7893

Find the sum of the series. For what variables of x will this series converge?

  • 2 years ago
  • 2 years ago

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  1. bahrom7893
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    3+x+x^2+x^3+.... idk what to do about that 3

    • 2 years ago
  2. mathg8
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    3x^0 ?

    • 2 years ago
  3. bahrom7893
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    well but the next one should have been 3x and then 3x^2, etc

    • 2 years ago
  4. mathg8
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    i see ...

    • 2 years ago
  5. bahrom7893
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    @TuringTest any ideas?

    • 2 years ago
  6. bahrom7893
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    hmmm let me read through the book once more..

    • 2 years ago
  7. mathg8
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    • 2 years ago
  8. bahrom7893
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    what's that?

    • 2 years ago
  9. mathg8
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    doesn't converge

    • 2 years ago
  10. mathg8
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    By the limit test, the series does not converge.

    • 2 years ago
  11. bahrom7893
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    It should though, for some values of x

    • 2 years ago
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  12. bahrom7893
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    #22.

    • 2 years ago
  13. Ishaan94
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    x<1 ?

    • 2 years ago
  14. bahrom7893
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    im thinking partial sums or smth..

    • 2 years ago
  15. mathg8
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    I need a refresh ... rusty

    • 2 years ago
  16. bahrom7893
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    well yea but i gotta find an equation for Sum. and i can't figure out what a is

    • 2 years ago
  17. mathg8
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    http://www.wolframalpha.com/input/?i=3%2Bx%2Bx%5E2%2Bx%5E3%2B....

    • 2 years ago
  18. bahrom7893
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    or the other side could be like ((1/3)x)

    • 2 years ago
  19. Ishaan94
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    \[3 + \frac{x}{1-x}\] It only works if x<1

    • 2 years ago
  20. bahrom7893
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    math, wolf can't compute this in terms of x. ohhhhhhhhhhhhhh Ishaain u're right.

    • 2 years ago
  21. Ishaan94
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    And I am sure the series will converge only when x<1

    • 2 years ago
  22. bahrom7893
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    *Ishaan

    • 2 years ago
  23. bahrom7893
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    actually im not sure now

    • 2 years ago
  24. mathg8
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    you should try partial sums ...

    • 2 years ago
  25. bahrom7893
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    that 3 is still bothering me.

    • 2 years ago
  26. mathg8
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    what if you divide by 3?

    • 2 years ago
  27. bahrom7893
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    then a get's screwed 1+(1/3)x+(1/3)x^2, etc..

    • 2 years ago
  28. bahrom7893
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    *gets

    • 2 years ago
  29. bahrom7893
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    @radar can u take a look?

    • 2 years ago
  30. bahrom7893
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    hmm what if i start with x

    • 2 years ago
  31. bahrom7893
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    duhh that's ishaan's answer, he was right. Thanks guys!

    • 2 years ago
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