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CONTINUITY & DERIVABILITYContents Topic Page No. Theory01 05Exercise 106 11Exercise 212 20Exercise 321 24Exercise 425 26Answer Key27 28Syllabus Continuity of a function, limit and continuity of the
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Continuity and derivability refer to the concepts in calculus where a function is said to be continuous at a point if the limit of the function at that point exists, and derivable if the derivative at that point exists.
Students and professionals studying or working in the field of mathematics or physics may be required to understand and demonstrate continuity and derivability in their work.
To fill out continuity and derivability, one must understand the definitions and properties of each concept and apply them to specific functions or situations.
The purpose of continuity and derivability is to analyze and understand the behavior of functions, particularly at specific points, and to determine the existence of limits and derivatives.
Information that must be reported on continuity and derivability includes the function being analyzed, the point at which continuity or derivability is being explored, and the calculations or reasoning used to determine these properties.
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