I was wondering if anyone knows of an example where f and g are two functions that do not have limits at the real number c but f+g and fg have limits at c.(adsbygoogle = window.adsbygoogle || []).push({});

I know that if f and g are functions and L= lim_{x->c}f(x) and D = lim_{x->c}g(x) then the lim_{x->c}(f+g) = L + D and lim_{x->c}(fg) = LD but that's assuming both L and D exist. What if L and D don't exist?

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# 2 functions f and g that dont have limits at a number c but fg and f+g do

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