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GAOKAO · Sequences & Series · Advanced

Sequences & Series: Prove bound: math, math: limit?

Arithmetic/geometric, summation.

Try the problem

Prove bound:

a_{n+1}=\sqrt{2+a_n}

,

a_1=\sqrt2

: limit?

Hint and answer

Concept to use

Telescoping sums.

Hint

Increasing bounded.

Answer

2

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