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Your assignment is to investigate the rates of convergence and of divergence by filling the missing numbers in the table below with the (roughly rounded) values of the integral: p-1.01 4.5 p-1.001 4.6 p-3 p-2 b-100 3.69 0.49995 999999/2000000 almost 0.5 b-1000 6.67 6.9 0.999 b-10A6 0.999999 7.49 12.9 13.7 999999999999/2000000000000 almost 0.5 b-10 100 Almost 1 Almost 10 ? 206 Almost 0.5 b->infinity 10 1000 Exactly 0.5 1/2 B 10 100 BINFINITY xP Almost 10 10 P-1.01 P-1.001 P-1 206 1000

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