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If is continuous at x = 4, find a, b.
Given:
f(x) is continuous at x = 4 & f(4) = a + b
For f(x) to be continuous at x = 4, f(4)– = f(4) + = f(4)
LHL = f(4)– =
a – 1
LHL = f(4) + =
1
Since ,f(x) is continuous at x = 4 & f(4) = a + b
f(4)–=f(4) + =f(4)
a – 1 = a + b = 1
a – 1 = 1
a = 2
a + b = 1
2 + b = 1
b = 1–2
b = –1