Proof that the sum, multiplication and division of two periodic function with the same period, is again a periodic function
Please help, I need these three proofs for my calculus homework
2026-04-01 16:20:08.1775060408
Proof: sum, multiplication and division of two periodic function
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HINT
Let $f,g$ be periodic with period $p$, meaning that $f(x+p)=f(x)$ and $g(x+p)=g(x)$ for all real $x$.
What can you say about periodicity $h=f+g, k=f \cdot g, m = f/g$? E.g. how is $h(x+p) = f(x+p) + g(x+p)$ related to $h(x)$?