Vue docs Animating with Watchers example causes precision errors for large numbers (floating point limit)

Problem:
In the Vue official documentation (Animation Techniques - Animating with Watchers), when typing a very large number like 9999999999999999, the number animation becomes inaccurate because of JavaScript floating-point limits.

Steps to Reproduce:

1. Open the Animation Techniques - Animating with Watchers page.
2. Enter a very large number (e.g., 9999999999999999).
3. See the displayed number is wrong.

Expected:
The animation should either prevent too large numbers or mention this limitation.

Suggestion:

1. Limit input range (below Number.MAX_SAFE_INTEGER)
2. Add a note explaining floating-point limits.

Start at the Animation Techniques - Animating with Watchers section linked in the issue and inspect the example's handling of large numeric input. Decide whether the example should restrict values below Number.MAX_SAFE_INTEGER or document the floating-point limitation. Done means the example no longer presents misleading results for oversized input, or the limitation is clearly explained.