Computers And Technology
and , prove that is approximately equal to , and is approximately equal to , to leading order in .
To prove the given statements, we start by expressing
, , and in terms of and . By making some approximations based on the condition , we simplify the expressions for , , and . Then, we compare and to and , respectively. We find that they are approximately equal to leading order in . Therefore, we have shown that and to leading order in .