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a) Let ( a k ) k N 0 be a sequence in R with a k = 0 for all k N_0. Show that

a) Let (ak)kN0 be a sequence in R withak=0 for all k N_0. Show that if the sequence(ak+1ak)kN0 is convergent or improperly convergent to +, then the radius of convergence R of the power seriesk=0akxk holds for Euler formulaR=limkak+1ak

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