# What is the Lagrange Interpolation polynomial of $1/{(x-1)}$?

So what is the value of

$$L[x_0,x_1,\ldots,x_n; \; 1/{(x-1)}]=\text{?}$$

I tried writing a Mathematica program to compute it, but I couldn't figure it out...

• Did you try using the formula? What do you get? – Robert Israel Feb 19 '18 at 20:39
• I got a very long and awful result....... – Nfff3 Feb 19 '18 at 21:14
• If $x_0, x_1, \ldots, x_n$ are arbitrary, that's to be expected. – Robert Israel Feb 20 '18 at 1:16