MathProblemsBank

2.12.21 Asymptotic Analysis

Condition: write an asymptotic formula for this \ (f (x) \) for \ (x \ rightarrow a \), and the response should be at least two members of the asymptotic formula, not counting the residue. \ [f (x) = \ sqrt {\ frac {x} {x+1}}-\ sqrt {\ cos \ frac {1} {x}}, \ quad x \ rightarrow \ infty \]