Science:Math Exam Resources/Courses/MATH105/April 2012/Question 01 (a)
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Question 01 (a) |
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Find the radius of convergence of the series |
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! |
Hint |
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Use the ratio test. |
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Solution |
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Please rate my easiness! It's quick and helps everyone guide their studies. We can apply the ratio test here. Let so that the series converges absolutely if
In this case, we require and hence absolute convergence is obtained for The radius of convergence is 1/2. |