Limits & Continuity Summary

Business Calculus · Axiom Academy

SUMMARY Limits & Continuity Summary The value a function approaches as x gets close to a The function doesn't need to equal L at x = a Left and right limits may differ Sum: lim(f + g) = lim f + lim g Product: lim(f · g) = lim f · lim g Quotient: lim(f/g) = lim f / lim g Horizontal asymptotes at y = L For rational functions: compare degrees • 0/0 is NOT the answer — it means you need algebraic manipulation • Confusing limit with function value — they can be different! • Forgetting one-sided limits — check both left and right • Assuming continuous means smooth — piecewise functions can be continuous • Ignoring domain restrictions — check where the function is defined How This Connects to Future Units

This is the written version of the interactive lesson above. See the full Business Calculus course.