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 Homework Statement:
 Show that total capacitance is equal to C_eq below.
 Relevant Equations:

C_eq= C_1+C_2+C_3+...+C_n (parallel capacitors)
C_eq^(1)= C_1^(1)+C_2^(1)+...+C_n^(1) (serial capacitors)
When tricks don't work, what is left? Show us your KCL equations for an AC input source please...I believe no one here knows how to solve the problem.