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3 years ago

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

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

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

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3 years ago

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

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