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Can't think of 2 examplesby semidevil
Tags: examples 
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#1
Mar2905, 09:06 PM

P: 142

I"m trying to think of 2 functions that are discontinuous at point C, but when added togther, and multiplied togther, will be continuous at point c.
I tried 1/x, root(x), a polynomail w/ x1 in the denomiator....cant think of anything....any hints? I mean, when you multiply 2 functions to get a new function, can't you factor that function back to the original function, and it will be discontinuous again? 


#2
Mar2905, 09:28 PM

P: 998

Think quite a bit simpler. Hint: Try two functions that are "almost constant," ie. they are constant except at [itex]C[/itex] where they are both discontinuous.
Don't forget that defining functions piecewise is perfectly allowable. 


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