In each of the following cases find the period of the function if it is periodic.
(i) `f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))`

Explanation

To solve the problem, we need to find the period of the given functions step by step.

### Part (i): \( f(x) = \frac{\sin(\pi x)}{\sqrt{2}} + \frac{\cos(\pi x)}{\sqrt{3}} \)

1. **Identify the Period of Each Function:**
- The period of \( \sin(kx) \) is given by \( \frac{2\pi}{k} \).
- For \( \sin(\pi x) \), \( k = \pi \), so the period is:
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