RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 23 of Exercise 9.1

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23

Find the values of a so that the function is continuous at x = 2.

Given:


The function f is continuous at x = 2


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.





2a + 5





since f is continuous at x = 2,



2a + 5 = 1


2a = 1 – 5


2a = –4


a = –2


Thus, f is continuous at x = 2 if a = –2.


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