Continuous Piecewise Function Values (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Continuous Piecewise Function Values
The function f(x) =
x²
a
, if 0 ≤ x ≤ 1
= a , if 1 ≤ x < √
2
=
2b² - 4b
x²
, if √
2
≤ x < ∞
is continuous for 0 ≤ x < ∞ , then the most suitable values for a and b are :
SELECT ONE OPTION
A
a = 1 , b = – 1
B
a = – 1, b = 1 + √
2
C
a = – 1 , b = 1
D
None of these
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