1. If each of the following functions were expanded as a Taylor series about the given...

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1. If each of the following functions were expanded as a Taylor series about the given point zo, what would be the its radius of convergence? (There is no need to actually obtain the expansion.) (a) * sin Z " z + 4' 20 = 0; (c) Z e + 1' 20 = 0 (e)*2(2-1) Zo = 4; (f)' coth(22), 20 0. = 1. If each of the following functions were expanded as a Taylor series about the given point zo, what would be the its radius of convergence? (There is no need to actually obtain the expansion.) (a) * sin Z " z + 4' 20 = 0; (c) Z e + 1' 20 = 0 (e)*2(2-1) Zo = 4; (f)' coth(22), 20 0. =