Give an example to show that $\displaystyle \lim_{x \to 0}\frac{g(ax)}{x}$ need not exist if a=0.
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Originally Posted by Markeur Give an example to show that $\displaystyle \lim_{x \to 0}\frac{g(ax)}{x}$ need not exist if a=0. What if $\displaystyle g(0)=c\ne0$?
I believe any non-zero constant function would work
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