Asked by sarah
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?
the sum of x=3 to infinity of
(k+1)^2/((x-1)(x-2))
is it infinity meaning it diverges?
Answers
Answered by
Damon
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.
-------------
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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