The product of infinite terms in x12.x14.x18...........∞ is
0
infinity
1
x
x12.x14.x18...........∞ =x12+14+18+.....+∞ =x12+(12)2+(13)3+.....+∞ Consider 12+(12)2+(13)3+.....+∞S∞=a1−r=121−12=1⇒x12+(12)2+.........+∞=x1⇒x12+(12)2+.........+∞=x
The infinite product x12.x14.x18........... equals ___.