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Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. 00 (a) If the power series

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Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. 00 (a) If the power series 2 an(1:1T)" is converges at :1: : 1, then it must be convergent at 1: : 5. :0 n CO CO (I (b) The power seires Zena?\" and the power series 2: n $H+1 have the same interval 11:0 11:0 R + 1 of convergence

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