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anonymous

  • 5 years ago

Determine a function which is represented by that summation given below

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  1. anonymous
    • 5 years ago
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    \[\sum _{n=1}^{\infty } \text{nx}^n\]

  2. anonymous
    • 5 years ago
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    what this?

  3. amistre64
    • 5 years ago
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    x + 2x^2 + 3x^3 + 4x^4 + ... + nx^(n)+.... like that?

  4. anonymous
    • 5 years ago
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    no,you know how f(x)=e^x is represented by \[1+x+x^2/2!+..... \] so this is reverse where you are trying to figure out function based on series given

  5. amistre64
    • 5 years ago
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    or do we want this to be a backwards taylor series?

  6. amistre64
    • 5 years ago
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    y = ? y' = 1 y''=2 y'''=3 y'''' = 4 then right?

  7. amistre64
    • 5 years ago
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    or do we account for the factorials also i spose

  8. anonymous
    • 5 years ago
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    This can be written as a geometric series. Use that to find the function that represents the summation.

  9. anonymous
    • 5 years ago
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    you got it, backward taylor series

  10. anonymous
    • 5 years ago
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    You don't need to do that amister.

  11. amistre64
    • 5 years ago
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    lol.... i do if I wanna understand whats going on ;)

  12. anonymous
    • 5 years ago
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    Haha. ok.

  13. anonymous
    • 5 years ago
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    what factorial

  14. amistre64
    • 5 years ago
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    taylor has factorials under them; i just assume they are a part of it

  15. anonymous
    • 5 years ago
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    no, it is the series, I think we want the function that it represent

  16. amistre64
    • 5 years ago
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    1 1 2 6 120 720 5040 40320 362880 3628800 those things

  17. amistre64
    • 5 years ago
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    i got more reading to do about series to be able to understand them better :)

  18. anonymous
    • 5 years ago
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    So Taylor polynomial of a function is this. We want the function?

  19. anonymous
    • 5 years ago
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    Trial & error might help

  20. anonymous
    • 5 years ago
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    \[\sum_{n=1}^{Infinity}nx^n\] = x+2x^2+3x^3+.....+nx^n

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