The value of 2+12+12+.....∞ is
Let x=2+12+12+.....∞ ⇒x=2+1x (on simplification) ⇒x=1±√2 As, x>0;x=1+√2.
The value of (12)×(12)+(12)(12)×(12)×(32) is half.
The value of (12)×(12)+(12)(12)+(12)×(34) is 1.