Register to reply 
Can't think of 2 examplesby semidevil
Tags: examples 
Share this thread: 
#1
Mar2905, 09:06 PM

P: 143

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. 


Register to reply 
Related Discussions  
Please help me find examples.  Calculus & Beyond Homework  5  
Examples of surjections  Set Theory, Logic, Probability, Statistics  15  
Limit definition examples  Set Theory, Logic, Probability, Statistics  10  
Examples in which force is exerted on an object without doing work  Introductory Physics Homework  10  
Need examples  Classical Physics  1 