Given the recurrence relation aj+1 = 20j +1+1) - A (+1)(3 + 21 + 2);) ај: (1) a) Show that as j - 00, (1) becomes the re

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Given the recurrence relation aj+1 = 20j +1+1) - A (+1)(3 + 21 + 2);) ај: (1) a) Show that as j - 00, (1) becomes the recurrence relation of the function e^(2p), which when used to reconstruct the radial solution returns the behavior that we had discarded for U(r) when r-00. b) Verify that A = 2m E F 4 ñ 2me and that therefore En E1 with me4 ΕΙ (2) 9 2(4περή)2' is a consequence of An = 2n , n= - {1, 2, 3, ...}. (3) Take the opportunity to make sure that the need for (3) is clear to you. PLEASE WRITE THE STEP BY STEP WITH ALL THE ALGEBRA AND ANSWER ALL THE PARAGRAPHS.