(a) Find the Taylor series for f(t) = tet about t = 0.(b) Using your answer to part (a)

Chapter 10, Problem 34

(choose chapter or problem)

(a) Find the Taylor series for f(t) = tet about t = 0.(b) Using your answer to part (a), find a Taylor seriesexpansion about x = 0 for, x0tet dt.(c) Using your answer to part (b), show that12 +13 +14(2!) +15(3!) +16(4!) + = 1.

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