Solved papers for JEE Main & Advanced AIEEE Solved Paper-2008

done AIEEE Solved Paper-2008 Total Questions - 1

• question_answer1) Let \[f\left( x \right)=\left\{ \begin{matrix}    \left( x-1 \right)\sin \frac{1}{x-1} & if\,x\ne 1  \\    0 & if\,x=1  \\ \end{matrix} \right.\]. Then which one of the following is true?       AIEEE  Solved  Paper-2007
  A)
  \[f\] is differentiable at \[x=0\] but not at \[x=1\]
  done clear
  B)
  \[f\] is differentiable at \[x=1\] but not at \[x=0\]
  done clear
  C)
  \[f\] is neither differentiable at \[x=0\] nor at \[x=1\]
  done clear
  D)
  \[f\] is differentiable at \[x=0\] and at \[x=1\]
  done clear
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