(10 points) Show that the sequence defined by a₁ = 6 and an = √6 + an-1 for n > 1 is convergent, and find the limit. [Hi
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(10 points) Show that the sequence defined by a₁ = 6 and an = √6 + an-1 for n > 1 is convergent, and find the limit. [Hi
(10 points) Show that the sequence defined by a₁ = 6 and an = √6 + an-1 for n > 1 is convergent, and find the limit. [Hint: Use the monotone convergent theorem.]
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