Question

lim_(x →1) (xsin{x})/(x - 1), where {x} denotes the fractional part of x, is equal to

(A) -1

(B) 0

(C) 1

(D) Does not exist

Answer 1

Answer is (D) Does not exist 

Therefore

Since

L.H. limit ≠ R.H. limit

Therefore, limit does not exist.