What is the radius of convergence of the power series ?

Answer and explanation

Correct answer: C. 3

  1. Step 1: Apply the ratio test: .
  2. Step 2: The series converges when . Thus, the radius of convergence is .
Answer
3.
Why not the others: '1' is standard geometric radius; '1/3' inverts 3; '' applies to exponential series.

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