lim-x-x-x-x-x-x-

Question Number 216917 by alcohol last updated on 24/Feb/25

l i \underset{x \to + \infty}{m} (\sqrt{x + \sqrt{x + \sqrt{x + \sqrt{x}}}} - \sqrt{x})

Answered by mehdee7396 last updated on 24/Feb/25

{l i m}_{x \to \infty} \frac{\sqrt{x + \sqrt{x + \sqrt{x}}}}{\sqrt{x + \sqrt{x + \sqrt{x + \sqrt{x}}} + \sqrt{x}}}

= {l i m}_{x \to \infty} \frac{\sqrt{x}}{2 \sqrt{x}} = \frac{1}{2}