2. In each of the following, if the given statement is true in geeral, then mark...

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2. In each of the following, if the given statement is true in geeral, then mark the O to the left of TRUE with a vand fill in the blank with the name of a test; otherwise, mark the O to the left of FALSE with a v and give a counterexample. (d) If an(r – 4)" converges at r = 8, then it diverges at r = 0. n=0 O TRUE, as can be shown using O FALSE, because because it does not hold for an = for n >1 (e) If an(r - 4)" converges at r= 8, its radius of convergence is R = 4. n=0 O TRUE, as can be shown using O FALSE, because it does not hold for an for n > 1. %3D 2. In each of the following, if the given statement is true in geeral, then mark the O to the left of TRUE with a vand fill in the blank with the name of a test; otherwise, mark the O to the left of FALSE with a v and give a counterexample. (d) If an(r – 4)" converges at r = 8, then it diverges at r = 0. n=0 O TRUE, as can be shown using O FALSE, because because it does not hold for an = for n >1 (e) If an(r - 4)" converges at r= 8, its radius of convergence is R = 4. n=0 O TRUE, as can be shown using O FALSE, because it does not hold for an for n > 1. %3D