Respuesta :

elliottou

Answer:

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

Step-by-step explanation:

grandi's series, [tex]S_G[/tex] is given by = 1-1+1-1+1-1+1-1...

1 - [tex]S_G[/tex] = 1 - (1-1+1-1+1-1+1-1) = 1-1+1-1+1-1+1-1 = [tex]S_G[/tex]

1- [tex]S_G[/tex] = [tex]S_G[/tex]

[tex]S_G[/tex] + [tex]S_G[/tex] = 1

2[tex]S_G[/tex] = 1

[tex]S_G[/tex] = 1/2

Duke44Dennis

Answer:

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

Step-by-step explanation: