Continuity When to Use Use this skill when working on continuity problems in real analysis. Decision Tree 1. Check Definition - f(a) exists (function defined at point) - lim {x- a} f(x) exists - lim {x- a} f(x) = f(a) 2. Use SymPy for Limit Check - - Compare with f(a) 3. Piecewise Functions - Check left and right limits separately - 4. Verify with Z3 - Tool Commands Sympy Limit Sympy Limit Left Z3 Prove Cognitive Tools Reference See for full tool documentation. ---