Evaluating the limit of a sequence

JEE Advanced 2015 Online › Algebra questions › Evaluating the limit of a sequence

Let 0 < a â‰¤ b. Define
a₁ = a+b2, b₁ = √a₁ b
and for each integer kâ‰¥1,
a_k+1 = a_k + b_k 2, b_k+1 = √a_k+1 b_k .
Find the limit of the sequence {b_n}. That is find
\lim_{n\to\infty} b_n

#Mathematics #Algebra

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4 Answers

1

Ricky ·2010-12-14 20:38:28

I ' ll just say a few things ............

1 .

2 .

3 .

I think these suffice .

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341

Hari Shankar ·2010-12-14 21:20:04

http://www.goiit.com/posts/listByUser/1920/5929.htm

I would like to emphasize what the author of the book from where I filched that solution had to say :"By the way, this is a hard problem by any competition standard"

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kaymant ·2010-12-15 07:31:31

Well, at least I think otherwise. Definitely this problem is not suitable for the engineering entrances. But its not that hard.

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Ricky ·2010-12-15 07:38:17

Sir, is my answer correct ?

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