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As with the digital multimeter, it may be marked “OHM” or with an omega (Ω). Red lead to positive (longer) terminal, black lead to negative (shorter) terminal. Analog multimeters use a needle to display their results. How the needle behaves determines whether or not the capacitor is good.  If the needle initially shows a low resistance value then gradually moves to the right, the capacitor is good. If the needle shows a low resistance value and doesn’t move, the capacitor has been shorted out. You’ll need to replace it. If the needle shows no resistance value and doesn’t move or a high value and doesn’t move, the capacitor is an open capacitor (dead).
Disconnect the capacitor from its circuit. Set your multimeter to its resistance stetting. Connect the multimeter leads to the capacitor terminals. Observe the results.