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What numerator sits above (x+1) when 1/((x-1)²(x+1)) is split up?

A1
B-1/4
C1/2
D1/4
Answer & Solution
Correct answer: D. 1/4
Setting x = -1 leaves C(x-1)² = 1 with (x-1)² = 4, so C = 1/4.
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