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Question 1185281: Prove algebraically that the sum of two odd functions is an even function.
Answer by ikleyn(52905)   (Show Source):
You can put this solution on YOUR website! .
Prove algebraically that the sum of two odd functions is an even function.
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This statement CAN NOT be proved, since it is WRONG.
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It is really interesting: the sum of two odd integer numbers is an even integer number.
But the sum of two odd function is an odd function, again ( ! )
Thus the situation with functions IS NOT THE SAME as with integer numbers ( ! ) ( ! )
In Math, it is very important to know every subject
from " a " to Z and do not miss the properties of different subjects ( ! ! ! )
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