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Master, how to do this advanced math problem, Tongji Edition.
First of all, it is obvious that the sequence is increasing.

Just prove that the sequence is bounded again.

Prove that it is bound by mathematical induction

Because there is a 1= root number 2

Ak= (2+AK-1) under the radical sign < 2

So the sequence has an upper bound.

The existence of sequence limit is proved.

You can also find the limit Lima = 2.

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