5f830da99f63497f4b5a2bdb

prove that 1 - 1 + 1 - 1 + 1 - 1 + 1 .... = 1/2

@parmu

basically the title. infinite sum of 1s and -1s

Reward: 1000 sats
Answers

1/2

@proter

The sum is equivalent to: 1/2 + (1/2 -1/2) + (1/2 - 1/2) + (1/2 - 1/2) + ... = 1/2

@blabla

1/2 + (1/2 -1/2) + (1/2 - 1/2) + (1/2 - 1/2) + ... = 1/2

@shumaiya

1/2

@yeyimov682

x = 1 - 1 + 1 - 1 + 1 - 1 + 1 .... (1) -x = -1 + 1 - 1 + 1 - 1 + 1 - 1 .... (2) 1-x = 1 - 1 + 1 - 1 + 1 - 1 + 1 .... (3) Subtract (3) from (1) 1-2x = 0 1 = 2x x = 1/2 Regards.

@tarantula