The discussion revolves around finding two functions, f(x) and g(x), that meet specific limit conditions as x approaches 3 from the right. The conditions include both functions tending to positive infinity and their difference not equating to zero in the limit.
There is ongoing exploration of the limit of the difference between the proposed functions, with some participants affirming that the choices for f(x) and g(x) appear to be valid based on the limit results discussed.
Participants emphasize the importance of correct notation and parentheses in the expressions for the functions.
Correct use of parentheses is important .Torshi said:Homework Statement
Find a pair of functions f(x), g(x) such that the following are true
lim x->3+ f(x) = +∞
lim x->3+ g(x) = +∞
lim x->3+ (f(x)-g(x)) ≠0
Homework Equations
none
The Attempt at a Solution
f(x) = x/(x-3)
g(x) 3/(x-3)
?
Therefore, your choices for f(x) and g(x) look good !Torshi said:Lim x->3+ (x-3)/(x-3) = 1? ≠0
SammyS said:Therefore, your choices for f(x) and g(x) look good !