Continuity on Open & Closed Intervals Objective: Be able to describe where a function is continuous and classify any discontinuities as removable or non-removable. - ppt download

Removable Vs. Non-Removable Discontinuities If a function f is defined on an interval and f is not continuous at c, then f is said to have a discontinuity at c. A discontinuity is removable if f can be made continuous by appropriately defining (or redefining) f(c). Otherwise the discontinuity is non-removable. Examples:
1.f(c) is defined. 2. exists. 3. Continuity on an open interval: A function is continuous on an open interval (a, b) if it is continuous at each point in the interval. A function that is continuous on the entire real line (-∞,∞) is everywhere continuous..
Non-Removable Discontinuities If a function f is defined on an interval and f is not continuous at c, then f is said to have a discontinuity at c. A discontinuity is removable if f can be made continuous by appropriately defining (or redefining) f(c). Otherwise the discontinuity is non-removable. Examples:.
Examples Discuss the continuity of each function.
Definition of Continuity on a Closed Interval A function f is continuous on the closed interval [a, b] if it is continuous on the open interval (a, b) and The function f is continuous from the right at a and continuous from the left at b.
Find a such that the function is continuous on the entire real line..

PPT - Limits and Their Properties PowerPoint Presentation, free download - ID:5448472

RehabiMed Method. Rehabilitation Buildings. vol II by Asociacion

Core Paediatric Orthopaedics (Section 3) - Postgraduate Paediatric Orthopaedics

Frontiers Closed-Loop Frontal Midlineθ Neurofeedback: A Novel Approach for Training Focused-Attention Meditation

Petri nets and Automatic Control: A historical perspective

PPT - Continuity & One-Sided Limits PowerPoint Presentation, free download - ID:4979268

Continuity and Discontinuity in Calculus - Definition and Examples

CN103582896A - Generating and processing task items that

PPT - 1.4 Continuity PowerPoint Presentation, free download - ID:6708535