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

Answer:

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

Step-by-step 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