The discussion revolves around finding the limit of the expression sin(4x)/(3x) as x approaches 0, specifically using the Squeeze Theorem. The subject area pertains to limits and trigonometric functions.
The discussion is ongoing, with participants seeking clarification on the limit properties and confirming the validity of the limit of sin(u)/u. There is no explicit consensus yet, but some guidance has been offered regarding the relationship between the limits involved.
Participants reference the assumption that the limit of sin(u)/u as u approaches 0 is known, suggesting that this is a foundational concept expected in the context of the problem.
Dick said:sin(4x)/(4x) isn't 1. The limit as x->0 of sin(4x)/(4x) is 1. Have you proved limit u->0 of sin(u)/u=1? Then just put 4x=u.