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raketka [301]
3 years ago
11

What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?

Mathematics
1 answer:
kramer3 years ago
7 0
To solve this problem you must apply the proccedure shown below:
 1. You have to find the radius <span>of convergence of the following Maclaurin series:
 </span>(2x)/(1+ x^{2} )&#10;
 2. Let's take the denominator and find the roots:
 1+ x^{2} =0
 x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\  x2=-i
 3. The roots are x1=i \\ x2=-i and the distance from the origin is 1.
 Therefore, the answer is: 1
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