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# Limits, Continuity and Differentiability

Limits, Continuity and Differentiability are the building blocks in Calculus. It is these concepts which form the basis of entire Calculus.

The basic concept of limit (of a function) is presented and developed in a unique manner which is further supported by solved examples of wide and varied choice. The treatment of continuity and differentiability of a function follows as a natural extension of the idea of limit. This is well illustrated through carefully selected solved problems of different levels.

"Limits, Continuity and Differentiability" is one of the easiest and important chapters of Calculus in the Mathematics syllabus of IIT JEE, AIEEE and other engineering examinations. These laws are not only important from the point of view of Mathematics but they are also very useful to a large extent in Physics and Physical Chemistry. The examples based on this are very easy and can be helpful in mastering the topic.

The chapter is important not only because it fetches 3-4 questions in most of the engineering examination but also because it is prerequisite to the other chapters of Calculus.

Limits, Continuity and Differentiability is important from the perspective of scoring high in IIT JEE as there are few fixed pattern on which a number Multiple Choice Questions are framed on this topic. You are expected to do all the questions based on this to remain competitive in IIT JEE examination. It is very important to master these concepts at early stage as this forms the basis of your preparation for IIT JEE, AIEEE, DCE, EAMCET and other engineering entrance examinations.