I saw a suggestion once for determining what a poor lawn needs, without soil tests.
Use a fertilizer spreader to spread whatever you are wondering about (say, lime). Spread it ONLY on one quarter of the lawn.
Or, better, use the spreader to write the word "LIME" on your lawn in huge letters.
Next summer, if that quadrant turns greener than the rest of the lawn, or you see the word "LIME" in darker green grass, the lawn needed more lime and you can spread it everywhere else on your lawn.
In the context of raised beds, it would be harder to get a good, clean comparison. Maybe just foliar-spray a few plants each with the micro nutrients you're wondering about. The plants that do conspicuously better point to what was lacking in the soil.
If you wonder about two things, you can spread one thing on half the lawn (the East half). Then spread the other thing on the North half. now you have four quadrants:
nothing added
both added
only A added
only B added
But if you need THREE things supplemented, this is a hard way to figure out what three. I guess you could lay down the 4 quadrants with A and B, then lay down multiple criss-crossing narrow stripes of C and look at all the intersections. Naah, not practical. You would have to repair the main lacks first, and then go back next year and look for minor lacks.
