Continuity and DifferentiabilityHard

Question

Let f(x) = , x ≠ 0 and f(0) = 1. The value of a and b so that f is a continuous function are -

Options

A.5/2, 3/2
B.5/2, -3/2
C.-5/2, -3/2
D.none of these

Solution

f(x) =
=
⇒ 1 + a - b = 0    ....(i)
and    = 1    ....(ii)
solving (i) and (ii) we get
a = , b =

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