Understanding Limits in Calculus

Skibidi, let us dive into the world of limits, where functions flex their behavior like a sigma goon on the edge of a toilet. Graphically, we watch how f(x) trends as x approaches a value, lowkey vibing with the graph. Numerically, we substitute close values to see the action unfold. For analytical methods, we flex direct substitution, factor like a pro, or even call on L'Hopital's Rule for those wild indeterminate forms. Continuity is key, fam; a function needs to meet certain conditions to flow smoothly. Infinite limits? Think vertical asymptotes, where f(x) goes off the charts. It is all about that dank math life.