You can put this solution on YOUR website! You may want a 2nd opinion. Here is what I get:
Lim x—>0 A,B,C constants
Lim x—>0 = C
Lim x—>0 * Lim x—>0 = C
Lim x—>0 = C / ( Lim x—>0 )
The RHS denominator goes off to infinity, so C/denominator —> 0
Lim x—>0