- #1
thenewbosco
- 187
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Hello, the question here says:
Show that any given function can be decomposed into the sum of manifestly odd and even subfunctions.
What i have done is just assumed a continuous, differentiable function, with a number a in the domain of the function, then shown that a taylor series for a function alternates between even and odd functions as the powers of x change from even to odd numbers. Is this enough for this question or is there something i haven't seen?
thanks
Show that any given function can be decomposed into the sum of manifestly odd and even subfunctions.
What i have done is just assumed a continuous, differentiable function, with a number a in the domain of the function, then shown that a taylor series for a function alternates between even and odd functions as the powers of x change from even to odd numbers. Is this enough for this question or is there something i haven't seen?
thanks