Explanation: 0.0001+0.00000002+0.00000000004 etc = 2^0/10^4 + 2/10^8 + 2^2/10^12 etc which is a geometric sequence with common ratio 2/10000 and first term 1/1

Explanation: 0.0001+0.00000002+0.00000000004 etc = 2^0/10^4 + 2/10^8 + 2^2/10^12 etc which is a geometric sequence with common ratio 2/10000 and first term 1/10000 So it has an infinite sum of (1/10000)/(9998/10000) = 1/9998 Same for powers of 3: 1/9997 Actually 1/8 = 0.125 is an example of this; it just breaks down very early because 4+0.8+0.16+0.032+0.0064+... = 5