About a month ago I needed to check the condition of a bunch of capacitors after one had failed. What surprised me most was the difficulty in finding a meter that could read 20,000 microfarads. I managed to find all new replacement capacitors but would still be nice to test the ones that did not fail.
That is usually a count limitation. You need a multimeter that is at least 20,000 count to reach that resolution. I don't know why the lower ones don't include ranges for that but they don't. The cheapest one that reaches that status that I know of is the Uni-T UT61E which will go up to 220,000uF.
That being said, if you are testing capacitor health then a multimeter is ENTIRELY the wrong tool for the job. A capacitor will have failed a long time ago, before it starts showing significant changes in capacitance. In fact, sometimes they never do. You need an ESR meter to check cap health. Depending on if you are a hobbyist or a pro, the tool will be different:
If you are just a hobbyist or what not, I would go with one of the cheap Mega328 ESR Meter/Component testers that you can find on ebay. They are an offshoot of a still heavily developed open source project. The Chinese manufacturers picked the project up and make it like crazy, so you can get one for around $15-35. The price varies mainly based on the kind of display that you want (2x16 LCD, graphic LCD, color graphic LCD, etc.) and if you want a case or not. The project is still heavily being developed and you can follow the
English language thread about its development or you can go to the
official project website which is in a mix of english and german. I should mention it doesn't just do capacitors. It does inductors, motors, resistors, transistors, SCRs, diodes, zener diodes, etc. It is a really really useful took to just have around when you need to check a component.
If you are a professional, then I would step up to either the Peak Atlas ESR meter or the Der EE DE-5000 meter. Of those two I would pick the Der EE. The Der EE runs around $100 and is a damn good fully featured ESR meter. It is so good that the metrology company IET Labs, rebadges it for their DE-5000 and DE-6000 meter. I would get the alligator and SMD tweezer accessory and ignore the others. I have the DE-5000 and that thing is amazingly accurate and well built