Q17 of 147 Page 159

Find the relationship between a and b so that the function f defined by

is continuous at x = 3.

It is given function is

It is given that f is continuous at x = 3, then, we get,


………………….(1)


And


= 3a + 1


= 3b + 1


f(3) = 3a + 1


Thus, from (1), we get,


3a + 1 = 3b + 3 = 3a + 1


⇒ 3a +1 = 3b + 1


⇒ 3a = 3b + 2


⇒ a = b +


Therefore, the required the relation is a = b + .


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