Continuity and DifferentiabilityHard
Question
The function f(x) = 
is not defined at x = 0. The value which should be assigned to f at x = 0, so that it is continuous at x = 0, is
is not defined at x = 0. The value which should be assigned to f at x = 0, so that it is continuous at x = 0, isOptions
A.a - b
B.a + b
C.log a + log b
D.None of these
Solution
For f(x) to be continuous, we must have
f(0) =
f(x)
= a.1 + b.1
= a + b ∴ f(0) = (a + b)
f(0) =
f(x)= a.1 + b.1
= a + b ∴ f(0) = (a + b)
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