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## Homework Statement

What does the series converge to?

[a

_{1}]=√12

[a

_{n+1}]=√(12+a

_{n})

## Homework Equations

Let L = the limit it approaches

## The Attempt at a Solution

I don't know if i did this correctly but I made

L = √(12+√(12+√(12+...)))

then L

^{2}= 12+√(12+√(12+...))

then L

^{∞}= 12

^{∞}+ 12

^{∞-1}...12

thus L = ∞√(12

^{∞}+ 12

^{∞-1}...12)