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.

22

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

Given:


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