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Decompose (x²+x+1)/(x(x²+1)) into partial fractions.
A1/x + 1/(x²+1)
B2/x - 1/(x²+1)
C1/x + x/(x²+1)
D1/x + (x+1)/(x²+1)
Answer & Solution
Correct answer: A. 1/x + 1/(x²+1)
With A = 1 at x = 0, the x² coefficients give B = 0 and the x coefficients give C = 1.
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