Let (x) = \\begin{array}{c}(x-1) \sin 1/{x-1\end{array} , \if x \neq 1;0 , \if x = 1 Then which one of the following is true?

Correct Answer is : f is differentiable at x = 0 but not at x = 1

f is differentiable at x = 0 and x =1

f is differentiable at x = 0 but not at x = 1

f is differentiable at x = 1 but not at x = 0

f is neither differentiable at x = 0 nor at x =1

BITSAT 2014 Paper

Section: Mathematics

Question : 108 of 150

Marks: +1, -0

Let (x) = {

(x−1)‌sin‌

x−1

if‌x≠1

if‌x=1

Then which one of the following is true?

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