An infinite number of identical capacitors each of capacitance 1 mF are connected as shown in the Fig. Then the equivalent capacitance between A and B is:

Series and parallel combination

equivalent capacitance of rows are c,c/2,c/4, c/8 and so on.

final capacitance of the combination is parallel combination of all the rows.

$c_e=c+\frac{c}{2}+\frac{c}{4}+\frac{c}{8}+\frac{c}{16}........=2c$