#MathUnusual | Find the limit n tends infinity \sqrt2\sqrt2\sqrt2\sqrt2...(n times)
Sep 5, 2026
Find the limit n tends infinity \sqrt2\sqrt2\sqrt2\sqrt2...(n times)
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Video Summary
AI GeneratedThis video provides a step-by-step mathematical derivation to find the limit of $\\log_b x_n$ as $n$ approaches infinity, given a recursive sequence where $x_1 = \\sqrt{2}$ and $x_{n+1} = \\sqrt{2x_n}$. The instructor demonstrates how to identify the general term of the sequence and apply logarithmic properties to solve the limit.