Hey for some reason I'm really struggling with this one problem-- Q: If f and g are both not continuous at a, then f+g is not continuous at a. Prove or Disprove. Any suggestions would be helpful!
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Originally Posted by johnlaw Hey for some reason I'm really struggling with this one problem-- Q: If f and g are both not continuous at a, then f+g is not continuous at a. Prove or Disprove. Any suggestions would be helpful! How about taking ?
Let f(x) := -1 for x>0, 0 otherwise. Let g(x) := 1 for x>0, 0 otherwise.
Originally Posted by Defunkt How about taking ? A quick comment: for your example, f+g is not defined at 0
Originally Posted by FancyMouse A quick comment: for your example, f+g is not defined at 0 True, so define . Then, are both not-continuous at zero but
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