Science:Math Exam Resources/Courses/MATH103/April 2016/Question 08 (a)
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Question 08 (a) 

Find a power series for about State (without proof) for which values of this power series converges. 
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 

Use the power series of at 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Note that the power series of centred at is converging for all real Replacing by we obtain the power series of centred at which converges for all real : 