Piecewise Function Continuity Differentiability… | ExamDuo
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Continuity and Differentiability
Medium
Piecewise Function Continuity Differentiability Analysis
MATHEMATICS
The function
f
(
x
)
=
{
π
4
+
tan
−
1
x
,
|
x
|
≤
1
1
2
(
|
x
|
−
1
)
,
|
x
|
>
1
is :
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SELECT ONE OPTION
A
continuous on R – {–1} and differentiable on R – {–1, 1}.
B
both continuous and differentiable on R –{1}
C
continuous on R–{1} and differentiable on R – {–1, 1}.
D
both continuous and differentiable on R – {–1}.
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