Let (xn) be a sequence in R where xn x R and for all n N....

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Let (xn) be a sequence in R where xn x R and for all n N. xnx Show (xn) converges superlinearly to x if and only if ||xn+1 x| - lim = 0. n | xn - x| Let (xn) be a sequence in R where xn x R and for all n N. xnx Show (xn) converges superlinearly to x if and only if ||xn+1 x| - lim = 0. n | xn - x|