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Let f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0...

Let `f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0, if"x"="1"}` . Then which one of the following is true? (1) f is neither differentiable at `( 2) (3) x""=""0( 4)` (5) nor at `( 6) (7) x""=""1( 8)` (10) f is differentiable at `( 11) (12) x""=""0( 13)` (14) and at `( 15) (16) x""=""1( 17)` (19) f is differentiable at `( 20) (21) x""=""0( 22)` (23) but not at `( 24) (25) x""=""1( 26)` (28) f is differentiable at `( 29) (30) x""=""1( 31)` (32) but not at `( 33) (34) x""=""0( 35)`

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