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Power Series Quizzes , Questions & Answers

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Dive into the world of power series—where infinite polynomials reveal deep insights about functions and convergence. In this quiz, you’ll explore how the radius and interval of convergence shape the behavior of a...

Questions: 15  |  Attempts: 14   |  Last updated: Feb 3, 2026
  • Sample Question 1
    The power series Σ aₙ (x-1)ⁿ converges at x = 4. What can we conclude?
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  • Sample Question 2
    The power series for f(x) converges on (-2, 2) and the power series for g(x) converges on (-5, 5). What is the interval of convergence for the sum f(x) + g(x)?
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  • Sample Question 3
    For the series Σ from n=0 to infinity of (-2)ⁿ (x+3)ⁿ, applying the Ratio Test gives L = 2|x+3|. What is the radius of convergence?
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