seq Namespace Reference

Evaluating the limit of a sequence. More...

Functions
def	seq (k)
	Finds the limit of the sequence: More...
def	main ()

Detailed Description

Evaluating the limit of a sequence.

Author

Paulo Roma

Since

5/11/2012

Function Documentation

main()

def seq.main

(

)

References _01d_dec2bin.input.

seq()

def seq.seq

(

k

)

Finds the limit of the sequence:

\begin{eqnarray*} a_0 &=& \sqrt{k},\ k > 0 \\ a_{n+1} &=& \sqrt{k+a_n}. \end{eqnarray*}

Parameters

k	a positive integer.

Returns

the limit of the sequence: \(\frac {1+\sqrt{1+4k}}{2}\)