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Continuity at a Number | Continuous Functions | Basic Calculus 2 года назад


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Continuity at a Number | Continuous Functions | Basic Calculus

Basic Calculus Continuity at a Number A function is continuous when its graph is a single unbroken curve. That you could draw without lifting your pen from the paper. A function 𝑓(𝑥) is said to be continuous at the number 𝑎 if all of the following three conditions are satisfied. 𝒇(𝒂)𝒆𝒙𝒊𝒔𝒕𝒔 (𝒍𝒊𝒎)┬(𝒙→𝒂)⁡𝒇(𝒙)𝒆𝒙𝒊𝒔𝒕𝒔 (𝒍𝒊𝒎)┬(𝒙→𝒂)⁡〖𝒇(𝒙)=𝒇(𝒂)〗 If any one of the above three conditions fail, the function 𝑓(𝑥) is said to be discontinuous at a number 𝑎. General Mathematics Playlist    • Solving Rational Equations | General ...   Statistics and Probability Playlist    • EXPLORING RANDOM VARIABLES | DISCRETE...   Pre-Calculus Playlist    • INTRODUCTION TO CONIC SECTIONS | PROF D   Calculus Playlist    • Finding the limit of a function using...   For more updates, you can also follow my Facebook Page:   / mathprofd   Join this channel to get access to perks:    / @profd   For Business and Collaboration: [email protected] Please don't forget to like, share, and subscribe!    / profd   Thank You Guys! #MathTeacher #ProfD

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