12-24-2025, 05:07 AM
I'm a first-year engineering student, and while I passed my introductory calculus course, I never truly grasped the foundational concepts of limits and continuity, which is now causing me major problems in my physics and advanced math classes. I can mechanically solve problems, but I don't have an intuitive understanding of what a limit actually represents or how to rigorously prove continuity beyond graphing. For students or tutors who have successfully overcome this conceptual hurdle, what resources or analogies finally made limits and continuity click for you? Are there specific practice problems or visual tools that helped bridge the gap between the abstract epsilon-delta definitions and their practical application in engineering and science?