pow:problem7s22 [Department of Mathematics and Statistics, Binghamton University]

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.

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