The Numberphile people do explain the 1/2 result Z = 1 - 1 + 1 - 1 + 1 - 1 ...... 1 - Z = 1 -[ 1 - 1 + 1 - 1 + 1 - 1 ....... ] = 1 - 1 + 1 - 1 ..... = Z 1 - Z = Z 2Z = 1 Z = 1/2 Reply
Z = 1 - 1 + 1 - 1 + 1 - 1 ......
1 - Z = 1 -[ 1 - 1 + 1 - 1 + 1 - 1 ....... ] = 1 - 1 + 1 - 1 ..... = Z
1 - Z = Z
2Z = 1
Z = 1/2