The function \(f(x) = \frac{1}{1-x}\) is

continuous and derivable at x= 1

continuous and derivable at x= 1

0%

neither continuous nor derivable at x = 1

neither continuous nor derivable at x = 1

75%

continuous but not derivable at x = 1

continuous but not derivable at x = 1

25%

none

none

0%