Chapter 5 Class 12 Continuity and Differentiability
Ex 5.1, 13
Ex 5.1, 16
Ex 5.1, 18 Important
Ex 5.1, 28 Important You are here
Ex 5.1, 30 Important
Ex 5.1, 34 Important
Ex 5.2, 5
Ex 5.2, 9 Important
Ex 5.2, 10 Important
Ex 5.3, 10 Important
Ex 5.3, 14
Example 29 Important
Example 30 Important
Ex 5.5,6 Important
Ex 5.5, 7 Important
Ex 5.5, 11 Important
Ex 5.5, 16 Important
Ex 5.6, 7 Important
Ex 5.6, 11 Important
Example 38 Important
Ex 5.7, 14 Important
Question 4 Important
Question 5 Important
Example 39 (i)
Example 40 (i)
Example 42 Important
Misc 6 Important
Misc 15 Important
Misc 16 Important
Misc 22 Important
Chapter 5 Class 12 Continuity and Differentiability
Last updated at April 16, 2024 by Teachoo
Ex 5.1, 28 Find the values of k so that the function f is continuous at the indicated point π(π₯)={β(ππ₯+1 , ππ π₯β€π@cosβ‘γπ₯, γ ππ π₯>π)β€ at x = π Given that function is continuous at π₯ =π π is continuous at π₯ =π If L.H.L = R.H.L = π(π) i.e. limβ¬(xβπ^β ) π(π₯)=limβ¬(xβπ^+ ) " " π(π₯)= π(π) LHL at x β Ο (πππ)β¬(π₯βπ^β ) f(x) = (πππ)β¬(ββ0) f(Ο β h) = limβ¬(hβ0) k (Ο β h) + 1 = k(Ο β 0) + 1 = kΟ + 1 RHL at x β Ο (πππ)β¬(π₯βπ^+ ) f(x) = (πππ)β¬(ββ0) f(Ο + h) = limβ¬(hβ0) cos (Ο + h) = cos (Ο + 0) = cos (Ο) = β1 Since L.H.L = R.H.L ππ+1=β1 ππ=β2 π= (βπ)/π