PLEASE FIND FUNCTIONS THAT SATISFY THE FOLLOWING TERMS

Question

if the limit as x approaches 5 of f(x) = 0 and lim as x approaches 5 of g(x) equals 0 the find functions of f(x) and g(x) that would make the limit as x approaches 5 of f(x)/g(x) = 10

 

please show all work and say what laws or rules you use to solve it

Answer 1

f(x) = 10(x-5)   g(x) = (x-5)   should do it, obviously.  THINK ABOUT IT!