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The coefficient of 1/(x+a) in the decomposition of 1/(x²-a²) is

A-1/(2a)
B1/a
C-1/a
D1/(2a)
Answer & Solution
Correct answer: A. -1/(2a)
Setting x = -a in 1 = A(x+a) + B(x-a) gives 1 = -2aB, so B = -1/(2a).
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