# Thread: Limit of a Function

1. ## Limit of a Function

Give an example to show that $\lim_{x \to 0}\frac{g(ax)}{x}$ need not exist if a=0.

2. Originally Posted by Markeur
Give an example to show that $\lim_{x \to 0}\frac{g(ax)}{x}$ need not exist if a=0.
What if $g(0)=c\ne0$?

3. I believe any non-zero constant function would work