Let y=1+1/2+1/3+1/2+......, what is the value of y ?  Pick
A) (√11 + 3 ) / 2  B) (√11 - 3 ) / 2  C) (√15 + 3 ) / 2  D) (√15 - 3 ) / 2  E) None of these
Explanation :   =&gt; y = 1 / (2 + 1 / ( 3 + y) ).   =&gt; y = (3 + y) / (7 + 2y).   =&gt; 2y2 + 6y - 3 = 0.   =&gt; y = −6±36+24/√4   =&gt; −6±60/√4= −3±15/√2.   Since 'y' is a +ve number, therefore:   y = ( √15 - 3 ) / 2.   Answer : (√15 - 3 ) / 2
<result>D</result>
Let y=1+1/2+1/3+1/2+......, what is the value of y ?