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Another function problem (Posted on 2006-11-19)

Define a sequence of functions f₀, f₁, f₂, ......, by

f₀(x)= 8, for all real x, and
f_n+1(x) = sqrt(x² + 6f_n(x)); for all real x and all non-negative integers n.

Solve the equation

f_n(x)= 2x

See The Solution Submitted by K Sengupta

Rating: 4.0000 (1 votes)

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

Subject	Author	Date
re(2): Solution?	Joel	2006-11-21 23:22:33
Solution	Rajesh	2006-11-21 13:17:42
a complete solution	Paul	2006-11-20 10:07:25
re(8): Solution?	tomarken	2006-11-20 01:26:34
re(7): Solution?	Richard	2006-11-19 20:40:39
re(6): Solution?	tomarken	2006-11-19 19:45:48
re(5): Solution?	Richard	2006-11-19 18:02:36
re(4): Solution?	tomarken	2006-11-19 16:04:04
re(3): Solution?	Richard	2006-11-19 12:40:29
re(2): Solution?	tomarken	2006-11-19 12:14:56
re: Solution?	Richard	2006-11-19 12:01:06
Solution?	tomarken	2006-11-19 11:17:32

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