Question

Compute the standard parts:

(sqrt(H+1))/(sqrt(2H)+sqrt(H-1)), H positive infinite

Answer 1

\(\large\color{blue}{\displaystyle\lim_{x \rightarrow ~\infty}\frac{\sqrt{x+1}}{\sqrt{2x}+\sqrt{x-1}}}\)

can I interpret your question like this?

Answer 2

I believe that would be the same. Kind of trying to teach myself. The answer is given as 1 / ( 1 + sqrt(2) ) OR sqrt(2) - 1. I don't know how to solve it though.

Answer 3

rationalize the denominator

Answer 4

yes