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Question

If, y = x + x+x+x+... , then y(2) = 0

A
4 or 1
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B
4 only
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C
1 only
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D
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Solution

The correct option is B 4 only
y = x + x+x+x+...

At x = 2

y = 2 + 2+2+2+...

y = 2 + y ....(1)

(y - 2)2 = y (Squaring on bath sides)

y2 - 4y + 4 = y

y2 - 5y + 4 = 0

(y-1) (y-4) = 0

y = 1 or y = 4

But y = 1 does not satisfy equation (1)

y(2) = 4

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