Limit of function: lim(x→a) f(x) = L means as x approaches a, f(x) approaches L. Notation emphasizes approaching, not necessarily reaching. Limit properties: (1) lim[f(x) + g(x)] = lim f(x) + lim g(x); (2) lim[f(x) × g(x)] = lim f(x) × lim g(x); (3) lim[f(x)/g(x)] = lim f(x) / lim g(x) (if lim g(x) ≠ 0). Example: lim(x→2) (x² + 3x) = 4 + 6 = 10. Solving: Direct substitution if function defined at x=a. Left/right limits: x→a⁻ (from left), x→a⁺ (from right). Limit exists if both equal. Exam tip: Identify limit form (indeterminate vs determinate). Use algebraic simplification for 0/0 form.