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