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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Let x=2222… upto ∞x=\sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \ldots \text { upto } \infty}}}} and y=2+2+2+2+… upto ∞y=\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\ldots \text { upto } \infty}}}}, then x−yx-y equals
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Correct option: A
0
Option A (0) is correct because both x and y simplify to 2, making their difference zero.

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