calculus

determine whether the series is convergent if so find sum:

the sum of x=3 to infinity of
(k+1)^2/((x-1)(x-2))

is it infinity meaning it diverges?

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  1. x^2 + 2 x + 1
    -------------
    x^2 - 3 x + 2

    divide top and bottom by x^2

    1 + 2/x + 1/x^2
    -----------------
    1 - 3/x + 2/x^2

    terms approach 1, not zero as x gets big.

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