MATH 31B Lecture 29: Power Series, Taylor Polynomials and Taylor Series pt 3
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Review oh : m io - 11am: continued, final. I don"t expect you to be able to focus on math right now . + t s t # t . xb sink) = But real number x . any these formulas also work w/ imaginary numbers i. e. expressions that contain i where is = - i. Note : i" =l i" = i i" = - i is = - i it -_ In particular, ei (i sinks = i. o - Hw 10 problems (if you have already done these (challenge problems ) try fsincxsdx. Nlismo 4th) = i (cid:15482) nlimo 4th 90=140--1. 9 (since gcx) = x is continuous ) and nlimo = o. So 9--0<1 p n so ent converges absolutely by the ratio test . n = , Find taylor polynomials for fcx2=x" centered at a =l. "yi ) then in to defn of tn . plug formula for f- cx) = x.