Verified answer

The formula for combining capacitors in series is

(1/Ctotal) =(1/C1)+(1/C2)+(1/C3)...

Therefore, (1/1.0)+(1/1.5)+(1/2) = 1/Ctotal = 2.167

Ctotal = 1/2.167 = 0.462

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http://www.techlearner.com/DCPages/DCCap.htm