4. Expand the function in a power series centered at x = 0 and determine interval of convergence. d)…

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4. Expand the function in a power series centered at x = 0 and determine interval of convergence.

d) f(x) = arctan(x)

e) f(x) = ln(x + 1)

a) f(x) =

b) f(x) =

1

3+2x

2×2

c) f(x) =

1

16+22³

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a f x 1 3 2x Explanation For f x 1 3 2x Substitute x with

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