What is the value of ?
Answer and explanation
Correct answer: C. 7/4
- Step 1: Decompose the general term into partial fractions: .
- Step 2: Solve for coefficients: , , .
- Step 3: Sum the terms: Write each fraction with the common tail . The first term yields . The second yields . The third yields .
- Step 4: The infinite tails cancel exactly (), leaving the finite sum: .
Answer
7/4.
Why not the others: omits the contribution of the first partial fraction component.
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