Limits, Continuity and Differentiability

This chapter is divided into six sections.The first section deals with the introduction to limits which forms the basis of calculus.The evaluation of limits by direct substitution,factorization, rationalization and reductions to standard forms are discussed in the second section.Introduction to continuity is dealt in the third section.Differentiability and the concepts of left and right derivatives are discussed in the fourth section.Once we have the knowledge of continuity and differentiability, we can develop the applications of these concepts.The fifth sections deals with differentiation which is just an extension of the differentiability concept. In this section, we learn about the differentiation of standard functions, rules of differentiation, L'Hospital's Rule and so on.At the end of this section, we have a series of exercises to test your understanding of this chapter,solved examples, previous years’ IIT JEE questions pertaining to this chapter.

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Limits

Continuity

Differentiability

Differentiation