Herce, Hie nadius o cenveryence R : 3. F.ind the nadius and interval convorgence y the series: 2n+1 he given series is ř (Q2-1)" n-o 2nt 1 (2- n=0 nto 2nt1 2nt Let and anti= on %3D 2ntl +1 lim 7->00 lantı an lim 2n+1 lim 2nt3 2n-T By divirling the namenoten oud deneuunaten by n, we'll eblain: lin 3% lim 2. 240 The nadius of cenvergunce e the series is Using He Ralio tust, we se that tha sories convergus y l2-yl R". e Kinaur Kiat the sories eonverges in the entirval ( ), but we must nourtest Joa cervergence at the endpoints f this utor val. 2. q z, the series becoumes: 生 - 2 +4 16 32 2 2 which Convergs by the dileinating Stries tust . yx =, the series beemes: に: 是)=o Nso nti

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