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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
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2008
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Q)
Let
f
(
x
)
=
{
(
x
−
1
)
sin
(
1
x
−
1
)
,
if x
≠
1
0
,
if x =1
.Then which one of the following is true?
( A ) f is neither differentiable at x = 0 nor at x = 1
( B ) f is differentiable at x = 1 but not at x = 0
( C ) f is differentiable at x = 0 but not at x = 1
( D ) f is differentiable at x = 0 and at x = 1
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