#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>

Question

#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>

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