Define the function in the interval (- L, l), and prove what the sum of odd function and even function is

Define the function in the interval (- L, l), and prove what the sum of odd function and even function is

Proof: let even function be f (x), odd function be g (x)
Then the sum: H (x) = f (x) + G (x)
Because f (x) = f (- x), G (x) = - G (- x)
So h (- x) = f (- x) + G (- x) = f (x) - G (x)
So h (x) ≠ H (- x), H (x) + H (- x) = 2F (x) ≠ 0
So the sum of odd function and even function is non odd non even function

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