PROOF (a) Given a function prove that is even and is odd,
Chapter , Problem 83(choose chapter or problem)
PROOF (a) Given a function prove that is even and is odd, where and (b) Use the result of part (a) to prove that any function can be written as a sum of even and odd functions. [Hint: Add the two equations in part (a).] (c) Use the result of part (b) to write each function as a sum of even and odd functions. f x x2 2x 1, k x 1 x 1
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