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

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


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


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