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Continuity and Differentiability
Medium
Continuity and Differentiability Conditions
If f(x) = ax² + b , b ≠ 0 , x ≤ 1
= bx² + ax + c , x > 1
then f (x) is continuous and differentiable at x = 1 , if
SELECT ONE OPTION
A
c = 0 , a = 2b
B
a = b , c = arbitary
C
a = b , c = 0
D
a = b , c ≠ 0
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