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Class XII_CONTINUITY & Differentiability Q135: Show that the function f(x) = |x + 1| + |x – 1| for all x ∈ R, is not differentiable at x = – 1 and x = 1. Previous recorded questions and their links: Introduction: • INTRODUCTION TO CONTINUITY Q: If f(x)={█(■((x^3+x^2+6x+20)/(x-2)^2 &;x≠2)@■(k& ;x=2))┤ is continuous at x=2, find k.: • If f(x)={█(■((x^3+x^2+6x+20)/(x-2)^2 &;x≠2... Q: For what value of k, will f(x) be continuous at x=5; f(x)={■((x^2-25)/(x-5)&x≠5@k&x=5)┤: • For what value of k, will f(x) be continuo... Q: For what value of k, will f(x) be continuous at x=3 f(x)={■(((x+3)^2-36)/(x-3)&;x≠3@k&;x=3)┤: • For what value of k, will f(x) be continuo... Q: Prove that the function f(x)=5x-3 is continuous at x=0, at x=-3 and at x=5.: • Prove that the function 𝒇(𝒙)=𝟓𝒙−𝟑 is conti... Q3: Examine the function for continuity. f(x)={■(1/(x-5)&;x≠5)┤ • Examine the function for continuity.𝒇(𝒙)=|... Q3: Examine the function for continuity. f(x)=|x-5|: • Find all points of discontinuity of 𝒇, whe... COMPLETE EXERCISE 5.3 | ONE SHOT VIDEO: • COMPLETE EXERCISE 5.3 | ONE SHOT VIDEO COMPLETE EXERCISE 5.4 | ONE SHOT VIDEO: • COMPLETE EXERCISE 5.4 | ONE SHOT VIDEO Q130: Let f(x)=x|x|, for all x∈R. Discuss the derivability of f(x) at x=0 • Let f(x)=x|x|, for all x∈R. Discuss the de... #cbse #icse #boards #8th #9th #10th #foundation #competition #iit #jee #Advanced #mains #ntse #olympiads #exams #examination #achiever #topper #zenith #zenithinstituteofmathematics #indersir #ludhiana #modelgram #bestmathscoaching #besttutorials #besttuition #bestinludhiana #mathtricks #viii #ix #x #xi #xii #important #excellent #question #Continuity #differentiability #derivatives #limits #continuityatapoint #Continuousfunction #discontinuity