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Alenkasestr [34]
3 years ago
13

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

2S_G = 1

S_G = 1/2

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