\asymp

The symbol \asymp is used to denote that two quantities are asymptotically equivalent, meaning they behave similarly as they approach a limit, often infinity.

Examples

Functions f and g are asymptotically equivalent as x approaches infinity.

f(x) \asymp g(x)

Sequences a_n and b_n are asymptotically equivalent as n approaches infinity.

a_n \asymp b_n

The expression x^2 + x is asymptotically equivalent to x^2 as x approaches infinity.

x^2 + x \asymp x^2