If x = 1 – y + y2 – y3 + … up to infinite terms, where |y| < 1, then which one of the following is correct?

If x = 1 – y + y2 – y3 + … up to infinite terms, where |y| < 1,

1.	If x = 1 – y + y2 – y3 + … up to infinite terms, where \|y\| < 1, then which one of the following is correct?
A.	\(x = \frac{1}{{1 + y}}\)
B.	\(x = \frac{1}{{1 - y}}\)
C.	\(x = \frac{y}{{1 + y}}\)
D.	\(x = \frac{y}{{1 - y}}\)
Answer» B. \(x = \frac{1}{{1 - y}}\)

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If x = 1 – y + y2 – y3 + … up to infinite terms, where |y| < 1, then which one of the following is correct?

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