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pow:problem7s22
Problem 7 (due on Monday, May 9)
Find the limit \[\lim_{n\to \infty}\sqrt{5+1\smash[b]{\sqrt{6+2\smash[b]{\sqrt{7+3\smash[b]{\sqrt{\ldots \smash[b]{\sqrt{(n+3)+(n-1)\smash[b]{\sqrt{n+4+n^n}}}}}}}}}}}.\]
We have not received any solutions. The limit in question is equal to $3$. For a complete solution see the following link Solution.
pow/problem7s22.txt · Last modified: 2022/05/09 22:49 by mazur