Continuity and DifferentiabilityMedium
Question
Let f(x) = 
, x ≠ 0 and f(0) = 1. The value of a and b so that f is a continuous function are -
, 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
= 1 ....(ii)solving (i) and (ii) we get
a =
, b = Create a free account to view solution
View Solution FreeMore Continuity and Differentiability Questions
Let f(x) = x3 and g(x) = | x |. Then at x = 0, the composite functions -...If y = f and f′(x) = sinx2, then is equal to-...Select the correct statements -...Let $f(x) = x^{3} + x^{2}f'(1) + 2xf^{''}(2) + f^{'''}(3)$, $x \in R$. Then the value of $f'...If = et where t = sin-1 , then is equal to...