Piecewise Function Continuity at x=0 (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Piecewise Function Continuity at x=0
Let
f
:
R
⟶
R
be a function given by
f
(
x
)
=
{
1
−
cos
2
x
x
2
,
x
<
0
α
,
x
=
0
β
√
1
−
cos
x
x
,
x
>
0
,where
α
,
β
∈
R
. If
f
is continuous at
x
=
0
, then
α
2
+
β
2
is equal to :
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