Find the 3rd degree Taylor polynomial T3 (x) centered at a 2 for the function f(x) = e"/5 e2/5 (x- 2) + T3 (x) = e2/5 + e2/5 e2/5 (x- 2)2 + 50 750 O T:(2) - e+(-2) + (- e? (x- 2) + (x - 2)2 + 50 (x – 2) 750 e2/5 (* - 2) + T3(x) = e2/5 + e2/5 e2/5 (x - 2)2+ 25 (x – 2) 125 e2/5 T3(x) = e2/5 + e2/5 e2/5 %3D 25 125 e2/5 E (z - 2) + T3 (x) = e2/5 + e2/5 (x- 2)2 + 50 e2/5 (x - 2)3 375

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