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Prove that function f(x)=cos sqrt(x) is ...

Prove that function `f(x)=cos sqrt(x)` is non-periodic.

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To prove that the function \( f(x) = \cos(\sqrt{x}) \) is non-periodic, we will follow a structured approach. ### Step-by-Step Solution: 1. **Assume the Function is Periodic**: We start by assuming that the function \( f(x) = \cos(\sqrt{x}) \) is periodic. This means there exists a positive number \( T \) such that: \[ f(x + T) = f(x) \quad \text{for all } x. ...
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