April 2025
Intermediate to advanced
616 pages
25h 43m
English
book
Pearson JEE Main Mathematics Vol 2 – 2026 | As Per NTA Syllabus | 2021 to 2025 Solved Previous Years’ Questions | 5000+ Topic-wise, Miscellaneous and Numerical–Based ... Papers on MyInsights | 2nd Edition
by Gavesh Bharadwaj
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4 Continuity and Differentiability
CONTINUITY
INTRODUCTION
Qualitatively the graph of a function is said to be continuous at x = a if while travelling along the graph of the function and in crossing over the point at x = a either from L to R or from R to L one does not have to lift his pen. In case one has to lift his pen the graph of the function is said to have a break or discontinuous at x = a. Different type of situations which may come up at x = a along the graph can be:
[I] is discontinuous at x = a and in [II], f is continuous at x = a
DEFINITION OF CONTINUITY
A function f(x) is said to be continuous at x = a, if f(x) exists and =
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