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} ) ](https://tex.z-dn.net/?f=%282x%29%2F%281%2B%20x%5E%7B2%7D%20%29%0A%20)
2. Let's take the denominator and find the roots:
![x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\ x2=-i](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%3D-1%20%5C%5C%20x%3D%20%5Csqrt%7B-1%7D%20%5C%5C%20x1%3Di%20%5C%5C%20%20x2%3D-i)
3. The roots are
![x1=i \\ x2=-i](https://tex.z-dn.net/?f=x1%3Di%20%5C%5C%20x2%3D-i)
and the distance from the origin is
![1](https://tex.z-dn.net/?f=1)
.
Therefore, the answer is:
<span>Find
the gross pay of Mr. Anderson in a week.
He earns 200 dollars a week + 15% commission on over 1000 dollars sales.
In a week he earned 2500 dollars.
=> Pls, take note, that he can only get a 15% commission for over 1000
dollars sales he get.
=> 2 500 dollars – 1 000 dollars
=> 1 500 dollars, now in 1500 dollars get the 15% commission
=> 1 500 x .15
=> 225 + 200 (his original earnings)
=> 425 dollars.</span><span>
</span>