(Solution) - The function J1 defined by is called the Bessel function -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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The function J1 defined by is called the Bessel function of order 1.

(a) Find its domain.
(b) Graph the first several partial sums on a common screen.
(c) If your CAS has built-in Bessel functions, graph J1 on the same screen as the partial sums in part (b) and observe how the partial sums approximate J1.