# Limits – Key Rules ## Standard Limits lim (x → 0) sin x / x = 1 lim (x → 0) (1 − cos x) / x² = 1/2 ## Techniques - Factorization - Rationalization - Standard identities ## Infinite Limits If f(x) → ∞ as x → a, limit diverges ## Common Mistakes - Cancelling terms incorrectly - Ignoring domain restrictions