∞ 00 Suppose an>0 and a diverges. Prove that n=1 n =. an contrary suppose Σ an p=g¹ + a₂ converges, then 1+ an an 1+ an diverges. (Hint: On the 1 ›0.) 1+1/an
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- considering the nonhomogenous 2ndorder ode y'' + 4y = 10sin(9pi x t)Verify the theorem Using frimage below for x = 5, n = 5 Show all work related to finding the values of S(n,k) that appear in the summaa. Show that W[5, sin2 t, cos(2t)] = 0 for all t by directly evaluating the Wrosnkian. b. Establish the same result without direct evaluation of the Wronskian.