RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 36 of Exercise 9.1

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36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

Given:


f(x) is continuous at x = 0


If f(x) to be continuous at x = 0,thenf(0)– = f(0) + = f(0)


RHL = f(0)– =





cos(0) = 1


f(0) +


LHL = f(0)– =






⇒ k×0


⇒ 0


Hence, the value of k = 0.


36

Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

1

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2

A function f(x) is defined as Show that f(x) is continuous at x = 3.
3

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4

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5

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6

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7

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8

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9

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10

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10

Discuss the continuity of the following functions at the indicated point(s).

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10

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10

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10

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10

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11

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12

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13

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14

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15

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16

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17

Discuss the continuity of at x = 0.
18

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19

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20

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21

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22

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23

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24

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25

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26

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27

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28

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29

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30

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31

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32

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33

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34

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35

Find the value of k for which is continuous at x = 0.
36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0
36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

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36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0
36

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36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

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36

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36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

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39

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39

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40

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41

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42

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43

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44

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45

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46

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