RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 22 of Exercise 9.1

Listen NCERT Audio Books to boost your productivity and retention power by 2X.


Determine the value of the constant k so that the function is continuous at x = 0.


The function f is continuous at x = 0,Therefore,

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.

= 1

= 1

= k

Thus, f is continuous at x = 0 if k =

Chapter Exercises

More Exercise Questions