Question: Develop each item from this point to reach the conclusion. a) Find a MacLaurin series for the function, ? f ( x ) = a

Develop each item from this point to reach the conclusion.

a) Find a MacLaurin series for the function, ?f(x)=arctan(x)?

b) Find the interval and radius of convergence.

c) Discuss why this series converges for the value ?x=?2/2? . Then evaluate the series and

function at this point and show the identity:

(the image below is for question c) )

Develop each item from this point to reach the conclusion. a) Find

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