RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 6 of MCQ

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6

Mark the correct alternative in the following:

If is continuous at x = π/2, then k =


Formula:- (i) and


(ii) A function f(x) is said to be continuous at a point x=a of its domain, iff



(iii) , where ,


Given:-



Function f(x) is continuous at x=



Using substitution method


If , then






Using formula (iii)



Using standard limit formula (i)


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

1

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The function


2

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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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If and f(x) is continuous at x = 0, then the value of k is
9

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10

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Let Then f(x) is continuous at x = 4 when
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

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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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If when then f(x) will be continuous function at x = π/2, where λ =
23

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24

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25

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26

Mark the correct alternative in the following:

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27

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28

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If then the set of points discontinuity of the function f(f(f(x))) is
29

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Let The value which should be assigned to f(x) at so that it is continuous everywhere is
30

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The function is not defined for x = 2. In order to make f(x) continuous at x = 2, f(2) should be defined as
31

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If is continuous at x = 0, then a equals
32

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33

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If the function f(x) defined by is continuous at x = 0, then k =
34

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35

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If f(x) = then the value of the function at x = 0, so that the function is continuous at x = 0, is
36

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The value of k which makes continuous at x = 0, is
37

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The values of the constants a, b, and c for which the function



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38

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39

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40

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function is (are)
41

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42

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If is


Continuous at then k is equal to

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