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Find the relationship between ‘a’ and ‘b’ so that the function ‘f’ defined by is continuous at x = 3.
we have to find the value of 'a' & 'b'
Given:
f(x) is continuous at x = 3
If f(x) is be continuous at x = 3,then,f(3)– = f(3) + = f(3)
LHL = f(3)– =
⇒ 3a – 0 × a + 1
⇒ 3a + 1 .....(1)
LHL = f(3) + =
⇒ 3b – 0 × b + 3
⇒ 3b + 3 ...(2)
Since ,f(x) is continuous at x = 3 and From (1) & (2),we get
3a + 1 = 3b + 3
⇒ 3a + 3b = 3 – 1
⇒ 3a + 3b = 2
⇒ 3(a + b) = 2
⇒ (a + b) =