# Example 19 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 19 Show that the function defined by f (x) = sin (x2) is a continuous function. ( ) = sin 2 Let ( ) = sin & = 2 = g = 2 = sin 2 = So we can write = Here = sin is continuous & = 2 is continuous being a polynomial . We know that if two function & are continuous then their composition is continuous Hence is continuous is continuous .

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19 You are here

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.