Fine sum of the series ( 1+frac{1}{4}+frac{1}{16}+frac{1}{64}+ldots ldots infty ) is
(1)( frac{8}{7} )
(2) ( frac{6}{5} )
(3) ( frac{5}{4} )
({(4) } frac{4}{3} )

The given series is an intinite gp in notich
[
begin{array}{l}
text { which } 9=1, gamma=frac{1}{4}
S_{infty}=frac{9}{(1-gamma)} quad( text { Sum }
end{array}
]
( left(begin{array}{c}text { Sum } 05 text { infinite term }end{array}right) )
[
=frac{1}{1-frac{1}{4}}
]
[
begin{array}{l}
=frac{frac{1}{4-1}}{4}
S_{infty}=frac{4}{3}
end{array}
]
option (4) is correct dear