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 & f(0) = 8


If f(x) to be continuous at x = 0,then,


f(0)– = f(0) + = f(0)


LHL = f(0)– =




cos(–x) = cosx


cos2x = 1–2sin2x


1–cos2x = 2sin2x


1–cos2x = 2sin2x






2k2


Since f(x) is continuous at x = 0 & f(0) = 8,then


2 k2 = 8


⇒ k2 = 4


⇒ k = ±2


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

1

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2

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3

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6

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7

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12

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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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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

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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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