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.


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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15

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16

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17

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18

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20

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22

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23

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29

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31

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33

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35

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36

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