How do I show that a function which is neither even nor odd can be written as the sum of an even and odd function?
47223
Deriving even odd function expressions
48600
Sufficiency to prove the convergence of a sequence using even and odd terms
43870
Explain why a composite function in which g(x) is any function, is applied to the output of any even function h(x) , f(x) is always even.
154288
proof that Even powers of an odd function's taylor polynomial vanish
143271
Finite sum of reciprocal odd integers
61258
Using OddQ and EvenQ in piecewise functions: Buggy?
85272
$3x + 1$ is even iff $5x-2$ is odd
4559
How many ways can $133$ be written as sum of only $1s$ and $2s$
127848
Determine which Fibonacci numbers are even
118571
Why is $\sum\limits_{k=0}^{n}(-1)^k\binom{n}{k}^2=(-1)^{n/2}\binom{n}{n/2}$ if $n$ is even?
2932
How do I prove this sum is not an integer
132264
Is there a (basic) way to understand why a limit cannot be brought inside of a sum, in certain situations?
107349
Working with elementary type proofs of divisor functions
69833
Number of elements not equal to their inverses is even number
50615
Expressing a Non Negative Integer as Sums of Two Squares
103581
Which positive integers can NOT be written as a sum of consecutive positive integers
127047
How to show that $\sum_{i=1}^n | \langle f, f_i\rangle |^2 \leq \Vert f \Vert^2$