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Omni-MATH / Let k be an integer greater than 1. Suppose a₀>0, and define a_(n+1)=a_(n)+(1)/(root[k](a_(n))) for n>0. Evaluate lim_(n→∞)(a_(n)^(k+1))/(n^(k)). · Discussion

Discussing Let k be an integer greater than 1. Suppose a₀>0, and define a_(n+1)=a_(n)+(1)/(root[k](a_(n))) for n>0. Evaluate lim_(n→∞)(a_(n)^(k+1))/(n^(k)). · Omni-MATH

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