Let `f(x)={((x-1)^2 sin(1/(x-1))-|x|,; x != 1), (-1,; x=1):}` then which one of the following is true?

Let f(x){{:((x-1)"sin"(1)/(x-1)", "ifx!=1),(" 0, "ifx=1.):} Then which one of the following is true ?

Let f(x) = |x-1| , then which of the following is true

Let f(x)={(x-1)sin1/(x-1)if\ x!=1 0,\ if\ x=1 . Then which one of the following is true? (a) f is differentiable at x=0\ and at \ x-1 (b) f is differentiable at x=0\ but not at \ x=1 (c) f is differentiable at x=0 nor at x=1 (d) f is differentiable at x=1\ but not at \ x=0

Let f(x)=x-(1)/(x) then which one of the following statements is true?

Let f(x)=x-(1)/(x) then which one of the following statements is true?

Let f(x)=x-(1)/(x) then which one of the following statements is true?

Let F(x)={(x-1)(sin1)/(x-1),x!=1,{0,x=1 then which one of the following is true.