perplexus.info :: Calculus : Rooting For The Limit II

Rooting For The Limit II (Posted on 2009-11-26)

Given that:

F_m(x) = √(2 - √(2 + √(2 + √(2 + .....√(2 + √x))))) (m square roots)

Evaluate this limit:

Limit F_m(2)/F_m(3)
m → ∞

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required limit is 3/2.

For a detailed explanation, refer to the solution submitted by Harry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Harry	2010-04-16 00:05:22
re: further computer exploration	Jer	2009-11-28 14:34:29
further computer exploration	Charlie	2009-11-26 13:47:50
It would seem...	Charlie	2009-11-26 13:37:09

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