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12.(1 pt) By recognizing each series below as a Taylor se-ries evaluated at a particular value ofx, find the sum of eachconvergent series.A.1+5+522!+533!+544!+···+5nn!+···=B.1+15+(15)2+(15)3+(15)4+···+(15)n+···=Correct Answers:•eˆ(5)•1/(1 - (1/5))13.(1 pt) Suppose that you are told that the Taylor series off(x) =x4ex2aboutx=0 isx4+x6+x82!+x103!+x124!+···.Find each of the following:ddxx4ex2x=0=d8dx8x4ex2x=0=