The formulation is incorrect. (And the solution is incorrect as well).

The correct formulation and solution follow:


    You are given a function  f(x) = .
    Find the limit of the function at x-->0.


Solution. 


Factor x out parentheses in the numerator. Then cancel factor "x" in the numerator an denominator. You will get

lim    =  lim   =  lim    = .
x-->0              x-->0               x-->0

Notice that this result  lim =   is not in the list.
Nevertheless, this result is correct.
Everything in the list is incorrect.