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If, y = x + √x + √x + √x + ......∞

1. 4 or 1
2. 4 only
3. 1 only
4. undefined

Correct Option: B

y = x + √x + √x + √x + ......∞
y - x = √x + √x + √x + ......∞
Square both sides, we get (y – x)² = y
Put x = 2, we get
(y – 4)(y – 1) = 0
We get y = 4, y = 1
But y > x
∴ y = 4 only