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Find the limit from MTRP 2016 MCQ 7

Source: MTRP 2016 Class 11-Multiple Choice Question: Problem 7 :-

May 31, 2020
limit

Problem Statement

Let {x}\{x\} denote the fractional part of xx. Then lim⁡n→∞{(1+2)2n}\lim \limits_{n\to \infty} \left\{ \left(1+\sqrt{2}\right)^{2n}\right\} equals
[*] 0 [*] 0.5 [*] 1 [*] Does not exists
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