Given x 0 , a point of a convex subset C of a Euclidean space, the two following statements are proven to be equivalent: (i) every convex function f : C → ℝ is upper semi-continuous at x 0 , and (ii) ...

After doing detailed analysis of the latest syllabus and few last year papers, Subject Experts of Mathematics at Jagranjosh have prepared chapter notes of chapter Continuity and Differentiability ...