Take the 2-minute tour ×  Construct a sequence of interpolating
values $Y_n, to,f(1 + \sqrt{10})$, where $f(x) = (1 + X^2)^{-1}$
for $-5 \leq X \leq 5$, as follows: For each n = 1,2, ... ,10,
let $h = \frac{10} {n}$  $x_j^n= -5 + jh$, for each j = 0, 1,2,
... ,n. What would my sequence be exactly. I have come up with
something but it seems incorrect.  The first term would be :
$-5+0*\frac{10} {1}$  The second ther would be : $-5+1*\frac{10}
{2}$  And so forth. But I have a feeling that this is incorrect.
share|improve this question what kind of interpolation are you
using? –  robjohn Sep 19 '12 at 14:56 Lagrange interpolation /
Neville's Method but that is the easy part. Once I figure out
what my x-values are then the rest is quite simple. –  math101
Sep 19 '12 at 15:03 add comment  2 Answers  up vote 3 down vote
accepted  It seems as if you are being asked to use $n$
subintervals (therefore, $n+1$ points) to interpolate the
function $f$ on $[-5,5]$. Since the width of the interval is
$10$, the width of each