What is the value of ?

Answer and explanation

Correct answer: E.

  1. Step 1: Use partial fractions: .
  2. Step 2: The sum telescopes: .
  3. Step 3: That is .
Answer
.
Why not the others: is the limit of the infinite sum, not of the first terms; is the sum of the first terms; is the sum of the first terms; is the sum of the first terms.

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