Question: (1 point) Consider the series an = (x - 5)2 + ( x - 5 )4 (x - 5)6 (x - 5)8 + + +

 (1 point) Consider the series an = (x - 5)2 +( x - 5 )4 (x - 5)6 (x - 5)8 ++ + . .. 5 . 2! 25 - 3! 125 -

4! Find an expression for an . an In the summation formulan starts at n = no . What is your starting indexmo ? (Note that because the validity of either of your answers

(1 point) Consider the series an = (x - 5)2 + ( x - 5 )4 (x - 5)6 (x - 5)8 + + + . .. 5 . 2! 25 - 3! 125 - 4! Find an expression for an . an In the summation formula n starts at n = no . What is your starting index mo ? (Note that because the validity of either of your answers depends on the other, if you enter only one, both will be marked wrong.)(1 point) Use sigma notation to write the Taylor series about x = Xo for the function. e"", Xo = - Taylor series = K=0(1 point) Write the Taylor series for f (x) = e" about x = -3 as Ecn (x + 3)". 1=0 Find the first five coefficients. CO= e^-3 CI= e^-3 C2= e^(-3/2) C3= e^(-3/6) C4= e^(-3/24)

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