Question

Show that IF f(x) is an odd function, then limit as x goes to zero of f(x) = 0

Answer 1

what can you say about f(-x) ?
if f(x) is odd fn. ?

Answer 2

Is it possible to have a odd function that is discontinuous?

Answer 3

If f(x) is odd, then f(-x) = - f(x)

Answer 4

Consider the function \(f(x)=\frac{1}{x}\). It is odd but the \(\lim_{x\to0}f(x)\neq0\).

See this link:
http://math.stackexchange.com/questions/892154/do-odd-functions-pass-through-the-origin

Answer 5

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