Question

Can any body here prove that 1-1+1-1+1-1+1-1.........=1/2
And What is known as this series?​

Answer 1

This is known as grandi's series, the proof is in the explanation

Step-by-step explanation:

grandi's series, is given by = 1-1+1-1+1-1+1-1...

1 - = 1 - (1-1+1-1+1-1+1-1) = 1-1+1-1+1-1+1-1 =

1- =

+ = 1

2 = 1

= 1/2

Explanation:

Answer 2

This is known as grandi's series, the proof is in the explanation

Explanation:

grandi's series,
`S_G` is given by = 1-1+1-1+1-1+1-1...

1 -
`S_G` = 1 - (1-1+1-1+1-1+1-1) = 1-1+1-1+1-1+1-1 =
`S_G`

1-
`S_G` =
`S_G`

`S_G` +
`S_G` = 1

2
`S_G` = 1

`S_G` = 1/2