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(Solved): Consider the Taylor expansion of sin(x) about 2\pi . Suppose that sin(x)=\sum_(n=0)^(\infty ) (c_(n ...



Consider the Taylor expansion of

sin(x)

about

2\pi

. Suppose that

sin(x)=\sum_(n=0)^(\infty ) (c_(n))/(n!)(x-2\pi )^(n)

Find

c_(0),c_(1),c_(2)

and the radius of convergence of the series.



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