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pow:problem1s26
Problem 1 (due Monday, February 9 )
For which polynomials $f(x)$ the limit \[ \lim_{x\to \infty}\left(\sqrt[1013]{f(x+2)}-2\sqrt[1013]{f(x+1)}+\sqrt[1013]{f(x)}\right)\] is finite and non-zero?
We received no solutions. The answer to the problem is that the limit is finite and non-zero if and only if the degree of $f$ is equal to $2026$. For a detailed solution see the following link Solution.
pow/problem1s26.txt · Last modified: 2026/02/10 12:08 by mazur