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Math Help - power series representation problem

  1. #1
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    power series representation problem

    needed to find interval of convergence.

    f(x) = 1/(x-5)

    it is a power series.

    thanks for the help.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    needed to find interval of convergence.

    f(x) = 1/(x-5)

    it is a power series.

    thanks for the help.
    Begin with,

    1+y+y^2+... =1/(1-y) for |y|<1.

    Now determine what do you want to substitute for y to get 1/(x-5). It is easy to see that y=6-x.
    Then, we need to |6-x|<1.
    And,
    1+(6-x)+(6-x)^2+(6-x)^3+...=1/(5-x)
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rcmango View Post
    needed to find interval of convergence.

    f(x) = 1/(x-5)

    it is a power series.

    thanks for the help.
    Someone check me on this:
    Attached Thumbnails Attached Thumbnails power series representation problem-converge.gif  
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  4. #4
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    lot of help on this one. Thankyou!
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