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

Question Number 58948 by Mikael_Marshall last updated on 01/May/19

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

Commented by maxmathsup by imad last updated on 01/May/19

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

Commented by Mikael_Marshall last updated on 01/May/19

t h a n k s S i r

Commented by maxmathsup by imad last updated on 01/May/19

y o u a r e w e l c o m e .