Series capacitor equivalence

I have capacitors of 100uF, 10uF and 1uF; and need a series circuit with these capacitors to form a 0.1uF capacitor, is this possible?

Answer

Series association

This association gives a lower total capacity than any of its component capacitors. The total capacity, for \$n\$ capacitors is

$$ C_{eq} = \dfrac{1}{\sum\limits_{n}\dfrac{1}{C_n}} $$

Parallel association

This association gives a greater total capacity than any of its component capacitors. The total capacity, for \$n\$ capacitors is

$$ C_{eq} = \sum\limits_nC_n $$

So, for your question, the answer is yes. You must connect 10 capacitors of 1\$\mu\$F in series.