RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 45 of Exercise 9.1

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45

If the function f(x), defined below is continuous at x = 0, find the value of k:

we have to find the value of 'k'


Given:


f(x) is continuous at x = 0 & f(0) = k


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


f(0)–=f(0) + = f(0)


LHL = f(0)– =





cos(0) = 1







⇒ (1)2


⇒ 1


RHL = f(0) + =






⇒ 1


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


And also , f(0)– = f(0) + = f(0)


So ,k = 1


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

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2

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15

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16

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23

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29

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33

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35

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