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One-Sided and Two-Sided Limits Explained | Calculus

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Oct 21, 2025
9:02

Learn the difference between one-sided and two-sided limits in calculus! In this video, we explore how limits behave when approaching a point from the left and from the right — and what it means when they disagree. You’ll see clear step-by-step example and graphs that show jump discontinuities and directional behavior of a function. Topics Covered: • Definition of left-hand (lim x→a⁻) and right-hand (lim x→a⁺) limits • Conditions for a two-sided limit to exist • Graphs of discontinuous and piecewise functions • Examples: f(x) = { x + 2, 3x + 1 } 🎓 Part of the Differential Calculus Series on the Math and Physics Learning Channel. Subscribe for more concise lessons on limits, derivatives, and applications! #Calculus #MathTutorial #LimitsInCalculus #OneSidedLimits #MathAndPhysicsLearning 📘 Check out my books on Amazon: https://www.amazon.com/stores/author/B00961PJ8M?ccs_id=5d685dad-2325-4b0f-96f1-7e9ae239e981 ✍️ Read more articles on HubPages: https://hubpages.com/@dougwest1

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One-Sided and Two-Sided Limits Explained | Calculus | NatokHD