Example 7 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at May 29, 2018 by Teachoo
Transcript
Example 7 Is the function defined by f (x) = |x|, a continuous function? = = <0 0 Checking continuity Case 1: At x = 0 f is continuous at x = 0 if, L.H.L = R.H.L = 0 i.e. lim x 0 = lim x 0 + = 0 & 0 = 0 Hence L.H.L = R.H.L = 0 f( ) is continuous at x = 0 Case 2 At x = c , c < 0 = is continuous at x = c if lim x = Hence lim x = therefore f is continuous at x = c (c < 0) f is continuous for all real number less then 0. Case 3 At x = c , c > 0 = is continuous at x = c if lim x = Hence lim x = f is continuous at x = c (c > 0) f is continuous for all real number greater then 0. Thus f is continuous for all real number
Examples
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7 You are here
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Example 24
Example 25
Example 26
Example 27
Example 28
Example 29
Example 30
Example 31
Example 32 Important
Example 33 Important
Example 34
Example 35
Example 36
Example 37
Example 38
Example 39
Example 40
Example 41 Important
Example 42 Important
Example 43
Example 44 Important
Example 45 Important
Example 46
Example 47 Important
Example 48
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.