Re: [math-fun] Sequence of polynomials with largest real root approaching e?

Do you mean p_{n+1}(x) = x * p_n(x) ? On 2013-04-16 10:57, Mike Stay wrote:

Oops! k_n should be an integer.

On Tue, Apr 16, 2013 at 8:56 AM, Mike Stay <metaweta@gmail.com> wrote:

...

Is there a sequence of polynomials p_n(x) such that

p_n(x) is degree n p_{n+1}(x) = p_n(x) + k_n

and the largest root of p_n approaches e as n -> infinity? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com