A capacitor doesn't really have any "resistance". It does have an "impedance" but not a resistance. With a direct current applied to it, after the capacitor has fully charged, you'll see a near-infinite resistance. You might see an apparent low resistance at first, but the apparent resistance will quickly rise to at or near infinity. Appliance capacitors do have some leakage, so you might see a finite, but high resistance.
If the capacitor shows a low resistance, it's shot. However, most capacitors fail "open". They basically lose their capacitance. If you don't have a meter that reads capacitance, you probably won't be able to tell the difference between a good capacitor and a bad one -- at least not with an ordinary multimeter.
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