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 = 1

Given:


f(x) is continuous at x = 1


If f(x) to be continuous at x = 1,then,f(1)–=f(1) + =f(1)


LHL = f(1)– =


4 ....(1)


RHL = f(1) + =



⇒ k(1–0)2


⇒ k ....(2)


Since, f(x) is continuous at x = 1 & also


from (1) & (2)


k = 4


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

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