The phrase "within the limits" can be replaced with several synonyms, such as "within bounds," "within the scope," "within the range," and "within the guidelines." Each of these phrases conveys the idea of staying within a certain designated area or framework. They may be used in different contexts, such as in a project where there are specific requirements to follow or in a personal situation where boundaries need to be defined and respected. Choosing the appropriate synonym depends on the context and the intended message. Moreover, the use of appropriate synonyms can enhance the clarity of communication and make the language more engaging.