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#11 Find a power series representation for the function and determine the interval of convergence. 3.

`f(x)=(1)/(1+x)`

4.

`f(x)=(x)/(1+x)`

5.

`f(x)=(1)/(1-x^(2))`

6.

`f(x)=(5)/(1-4x^(2))`

7.

`f(x)=(2)/(3-x)`

8.

`f(x)=(4)/(2x+3)`

9.

`f(x)=(x^(2))/(x^(4)+16)`

10.

`f(x)=(x)/(2x^(2)+1)`

11.

`f(x)=(x-1)/(x+2)`

12.

`f(x)=(x+a)/(x^(2)+a^(2)),a>`