An infinite ladder network of resistances is constructed with \( 1 ...

An infinite ladder network of resistances is constructed with \( 1 \Omega \) and \( 2 \Omega \) resistance as shown
\( \mathrm{P} \) in figure. The \( 6 \mathrm{~V} \) battery between \( A \) and \( B \) has negligible internal resistance. The equivalent
W resistance between \( A \) and \( B \) is
(a) \( 1 \Omega \)
(b) \( 2 \Omega \)
(c) \( 3 \Omega \)
(d) \( 4 \Omega \)