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--- pow:problem7s22 [2022/05/09 14:02] – created mazur
+++ pow:problem7s22 [2022/05/10 02:49] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 7 (due on Monday, May 9) >
+Find the limit
+\[\lim_{n\to \infty}\sqrt{5+1\smash[b]{\sqrt{6+2\smash[b]{\sqrt{7+3\smash[b]{\sqrt{\ldots \smash[b]{\sqrt{(n+3)+(n-1)\smash[b]{\sqrt{n+4+n^n}}}}}}}}}}}.\]
+</box>
+We have not received any solutions. The limit in question is equal to $3$.  For a complete solution see the following link {{:pow:2022sproblem7.pdf|Solution}}.