# Ex 5.1, 28

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 5.1, 28 Find the values of k so that the function f is continuous at the indicated point ๐ ๐ฅ๏ทฏ= ๐๐ฅ+1 , ๐๐ ๐ฅโค๐๏ทฎ cos๏ทฎ๐ฅ, ๏ทฏ ๐๐ ๐ฅ>๐๏ทฏ๏ทฏ at x = ๐ Given, ๐ ๐ฅ๏ทฏ= ๐๐ฅ+1 , ๐๐ ๐ฅโค๐๏ทฎ cos๏ทฎ๐ฅ, ๏ทฏ ๐๐ ๐ฅ>๐๏ทฏ๏ทฏ at x = ๐ Given that function is continuous at ๐ฅ =๐ ๐ is continuous at ๐ฅ =๐ if L.H.L = R.H.L = ๐(๐) i.e. lim๏ทฎxโ ๐๏ทฎโ๏ทฏ๏ทฏ ๐ ๐ฅ๏ทฏ= lim๏ทฎxโ ๐๏ทฎ+๏ทฏ๏ทฏ ๐(๐ฅ)= ๐(๐) Since L.H.L = R.H.L โ ๐๐+1=โ1 โ ๐๐=โ2 Hence, ๐= โ๐๏ทฎ๐ ๏ทฏ

Chapter 5 Class 12 Continuity and Differentiability

Ex 5.1, 9
Important

Ex 5.1, 13 Important

Ex 5.1, 16 Important

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 Important

Ex 5.2, 9 Important

Ex 5.2, 10 Important

Ex 5.3, 10 Important

Ex 5.3, 14 Important

Example 32 Important

Example 33 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 41 Important

Ex 5.7, 14 Important

Example 42 Important

Ex 5.8, 5 Important

Example 44 Important

Example 45 Important

Example 47 Important

Misc 6 Important

Misc 15 Important

Misc 16 Important

Misc 23 Important

Class 12

Important Question for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.