RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 21 of Exercise 9.1

Listen NCERT Audio Books - Kitabein Ab Bolengi

21

Determine the value of the constant k so that the function is continuous at x = 2.

Given:


It is clear that when x<2 and x>2, the given function is continuous at x = 2.


So, at x = 2




= 4k



We know that,


If f is continuous at x = c, then The Left–hand limit, the Right–hand limit and the value of the function at x = c exist and are equal to each other.




4k = 3


k =


Therefore, the required value of k is


21

Chapter Exercises

More Exercise Questions