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 = 5

Given:


f(x) is continuous at x = 5


If f(x) to be continuous at x = 5,thenf(5)– = f(5) + = f(5)


LHL = f(5)– =



⇒ 5k + 1


RHL = f(5) + =





⇒ 10


Since, f(x) is continuous at x = 5


we have,5k + 1 = 10


5k = 9


k =


The value of k is


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

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